{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "205909dd",
   "metadata": {},
   "source": [
    "#  第三讲 随机网络实践一"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d842cb53",
   "metadata": {},
   "outputs": [],
   "source": [
    "#!/usr/bin/python3\n",
    "# -*- coding: utf-8 -*-\n",
    "# Author ： 单哥的科研日常\n",
    "# 关注B站和公众号：单哥的科研日常，获取更多讲解教程"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff1616cf",
   "metadata": {},
   "source": [
    "### 实验环境：\n",
    "### Python版本==3.9.16, networkx==3.0, matplotlib==3.6.3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "342ceaa0",
   "metadata": {},
   "source": [
    "## 1、几种常见的规则网络的生成与可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "974326f5-a713-46e8-9779-f2d79ffe6cad",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入库\n",
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5a13d41a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AIGFa5S9i2o6s1/FhNDkZvQnAALCH8It9H/DHufaSv31JajuR9fJPgAcItXqjV699/tMGth8fRlNTUafJXgD8GOHc4+8QJsIuA99N+MWjlMuGkSRlFVmvZ4GeLV5ff+2pmLYj63X8IyRmZ+9ezXUbD619rHsdYe7oCPALwO/HtF2two0bMVtIUvuKrNdfBTq3eH33hu9nFlmv40dGS0vRm2z2SuCHgT8AoldGun275vYlqS1E1usXEi7t3uz2hu9HiajX8WHUuVVuxns58CzwldgNd+/e/mckSdH1uodwqm6z9ddeGtt+RL2OD6OenrpcWv15wtDv/piNymXYt6/mtiWpLUTW628HngBubXr90xu+n1lkvY4Po97eqHOQN7d47f8Avwv0xx5AtRoeeytJ2l5kvX49Yepk4+2qS8B7CfcfvTym7ch6HX8BQ2QY/AThPONDhJum/ozwi74I+LfRjce3L0ltK7JefifwzwgXl80T5vffB1wHLja4/YavwPBrwPuB/0cY+r0E+H7gLUQuBwSuwCBJMSLrNYSLFR4BfpM7a9O9HYh++ETDV2Aol2FoKDxuNoOHCecbnwaqhOvUo9elg9DeqVMGkSRlFVmvIczlv4tw0cJtwhJB0UGUo17nW7V7ZgYOHMi8CmxduGq3JMUrSL3Ot2r3/v0wOBiVtjUplUJ7BpEkxSlIvc7/pNdbt8KTA+fmmvbJgZIkClGv8z/pdc8eGB/fmScHjo8bRJKUVwHqdf4wAujvh9HRmnaxrUoltCNJyq/J63VtYQQwPHznF4x8+uvzWt9PpQKnT9dnn5LU7pq4XuefM9psYgKOH4f5eViOXv70jlIJurvDUM8RkSTVXxPW6zpFI+FArlyBgYFwWV/slRulUthuYCBMfhlEktQYTViv6zcy2mhmBsbG4Pz5O3f+lst3r5G08euurnCD1IkTXr4tSTupSep1Y8JoXbUanoE+ORk+btwIz7fYvTus5trXFz4OH3ZlBUlKKXG9bmwYSZKUQf3mjCRJyskwkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnKGkSQpOcNIkpScYSRJSs4wkiQlZxhJkpIzjCRJyRlGkqTkDCNJUnL3pT6AHVOtwvQ0TE7C1BTMzsLSEnR2Qk8P9PZCXx8cOQLlcuqjldQOrEtft2t1dXU19UE01MwMPPooXLgACwvhtXI5/CdYt/Hrri4YGoKTJ2H//p0/Xkmtz7r0HK0bRouLMDICFy9CRwcsL2fftlSClRUYHIRz52DPnsYdp6T2YV16Xq0ZRhMTcOwY3LwZ19mblUrQ3Q3j49DfX7fDk9SGrEv31HoXMIyOwtGjMD9fW4dD2H5uLuyvUqnP8UlqP9albbXWyKhSgTNnGrf/0VEYHm7c/iW1HutSJq0TRhMT4Z1Co1261FJDY0kNZF3KrDXCaHERDh0KQ+CVlca109EBe/fC1astN3koqc6sS1FaY85oZCRMCjaywyHsf34ezp5tbDuSis+6FKX4I6Pr1+HgQYj4NaaAtwKfBG4DB4ETwMNZd7BrF1y71rLX+0uqUWRdmgR+CfgUsAq8Bvj3wLfHtFnwulT8kdHYWBimZjRB6Oh54BHgPcA/Br4Q02ZHR2hXkrYSUZemgL8PfB54C/Bm4Enge4E/j2mz4HWp2COjajWcK12/g3kbt4AHgIeAj1BjEnd1hcsrW3yJDkmRIuvSDwGPEwLoxWuvzRJqVT/w2zFtF7guFXtkND2ducMBPgDMAe8g/OJfAXKfzV1YgMuX824tqVVF1qX/DfwAd4IIoIcwMvoo8ExM2wWuS8UOo8nJqB//OLAH+CLwrcD9a1+fIswdNbp9SW0gsi4sAS/c4vUXAc8Cn21w+82i2GE0NRU1HH0S+Brww8BRwvD3XwAXgIHYtsvlwna6pAaKrEvfCvwhsHFdhmeBT6/9+4sxbRe4LhU7jGZn717ldhvPAH8NvBH4NeBH1z6fBD5ICKvMqlW4cSNmC0ntILIunQaeAAaBPyOMhN5ImDcC+GpM2wWuS8UOo6WlqB9fHwr/5KbXf2rt8+Ox7d/OdXJPUiuLrEtDwC8S5rQfBA4DnwN+fu3798e2X9C6VOww6uyM+vGXrn3eu+n17rXP2acc1+zeHbuFpFYXWZcgXFQ1R7iYYRr4I+5cXPVA7M4KWpeKHUY9PVHnZvvWPm8+B/vU2ueXxLRdLsO+fTFbSGoHkXVpXRfhfqPDa19/HHgZcChmJwWuS8UOo97eqHOzP772+eKm1/8T4fnrr41pu1oNjwOWpI0i69JWPkQYHf0skUW6wHXpvtQHUJPIP/p3EK6e+8+Eq+q+F3gM+DDwC9w5jdeo9iW1gci68AngbYQbXF9MuLLuvcAPAv9yB9pvFm21AgNAFXgnobOfAvYDw4R3IFEKfKezpAaKrEufI1xRNwV8GTgAHAP+FfCC2LYLXJeKfZquXIahofAY3qybENZ/uk64lv9JcgRRqQSnThWywyU1WGRd+lvAJeAm4eb7K8C/IUcQFbwuFXtkBDAzAwcORK3aXbOCr44rqcGsS9GKPTKC8IcfHIwaHdWkVArtFbTDJe0A61K04o+MAG7dCk9UnJvziYqSmoN1KUrxR0YQOmB8fGeeqDg+XugOl7RDrEtRWiOMAPr7YXS0sW1UKqEdScrCupRZ64QRwPDwnY6PePrrPa3vp1KB06frs09J7cO6lElrzBltNjEBx4/D/DwsL2/748+rVILu7jAEboF3HpISsi7dU2uNjNb198OVKzAwEC53jL2ipVQK2w0MhEnBFupwSYlYl+6pNUdGG83MwNgYnD9/547ocvnutaM2ft3VFW4cO3Gi0JdJSmpi1qXnaP0wWlethmfDT06Gjxs3wnM/du8Oq9z29YWPw4cLewezpIKxLn1d+4SRJKlpteackSSpUAwjSVJyhpEkKTnDSJKUnGEkSUrOMJIkJWcYSZKSM4wkSckZRpKk5AwjSVJyhpEkKTnDSJKUnGEkSUrOMJIkJWcYSZKSM4wkSckZRpKk5AwjSVJyhpEkKTnDSJKUnGEkSUrOMJIkJWcYSZKSM4wkSckZRpKk5AwjSVJyhpEkKTnDSJKUnGEkSUrOMJIkJWcYSZKSM4wkSckZRpKk5AwjSVJyhpEkKTnDSJKU3H2pD0AtqFqF6WmYnISpKZidhaUl6OyEnh7o7YW+PjhyBMrl1Eerzew/JbBrdXV1NfVBqEXMzMCjj8KFC7CwEF4rl0NxW7fx664uGBqCkydh//6dP17dzf5TQoaRare4CCMjcPEidHTA8nL2bUslWFmBwUE4dw727GnccWpr9p+agGGk2kxMwLFjcPNmXBHbrFSC7m4YH4f+/rodnrZh/6lJeAGD8hsdhaNHYX6+tkIGYfu5ubC/SqU+x6d7s//URBwZKZ9KBc6cadz+R0dheLhx+2939p+ajGGkeBMT4R1wo1265CmfRrD/1IQMI8VZXIRDh8KpnZWVxrXT0QF798LVq06K15P9pyblnJHijIyEye5GFjII+5+fh7NnG9tOu7H/1KQcGSm769fh4EHI8F/mOPC+e3z/C8A3Z2lz1y64ds37WOohov8AngQeAT4JfAn4FuCngBHgRVnbtP+UkSMjZTc2Fk6/ZHAS+I1NH79OKGKvImMQQWhvbCz6ULWFiP77C+DVwB8CZ4B3A68B3gL8ZEyb9p8ycmSkbKrVMAewfmd+Dp8Evht4B/CLMRt2dYXLhl16Jr/I/nsn8EvAZ4EHN7x+jPCm4ktAV9a27T9l4MhI2UxP1xREAB8AdhFO9URZWIDLl2tqu+1F9t+ttc97N73eQygaL4hp2/5TBoaRspmcrGnzKvBbwEPAKxK03/Yi/36vXfs8CPwp4bTdh4DzwMPANzS4fbUfw0jZTE3VdJrlEvA08NN5Ni6XLWa1iuy/HwTeDnwM+A7CxQtvAN4E/Gps2/afMvAREspmdvbu1ZsjfQAoAz+eZ+NqFW7cyN22yNV/rwC+B/gx4MXA/yDMJe0jXNSQmf2nDAwjZbO0lHvTZ4DfAY4Silout2/nbl9E998HgRPAE8DL1l77UWAF+NeEK+qi+tL+0zY8TadsOjtzb/rfgL8m5ym6dbt317K1IvvvPxJOz71s0+uvI/Tln8S2b/9pG4aRsunpyT1n9H7gfkIhy6Vchn378m4tiO6/OWCrdbzXT/R9LaZt+08ZGEbKprc315zRTeDjwI8Qcdf+ZtVqeMy18ovsvwcIo58nNr3+XwhF40hM2/afMnDOSNnkLCYfIryLrukUXQ3ta03k3+/ngN8j3KR8hjA/9NG1134GeGmD21f7cQUGZZNzBYbXAJ8HngJKedv2Dv7a5ei/zwBvJYyQngYOEFZg+Hki38Xaf8rA03TKplyGoaHweOkIjxPmH3IHUakEp05ZyGqVo/9eDfxPYBZ4FvhzwjJOUUFk/ykjR0bKbmYGDhzIvOpzXbjqc/3Yf2pijoyU3f79MDgYPTrKrVQK7VnI6sP+UxNzZKQ4t26FJ4XOzfmk0CKy/9SkHBkpzp49MD6+M08KHR+3kNWb/acmZRgpXn8/jI42to1KJbSj+rP/1IQMI+UzPHynoGV8eui21vdTqcDp0/XZp7Zm/6nJOGek2kxMwPHjMD8Py1stIJNRqQTd3eHUju+od479pybhyEi16e+HK1dgYCBcxht7pVapFLYbGAiT3RaynWX/qUk4MlL9zMzA2BicP3/nTv9y+e410TZ+3dUVbog8ccLLf5uB/aeEDCPVX7UKly+Hp3tOToYHq92+HR4jsG9fWKesrw8OH/bO/GZk/ykBw0iSlJxzRpKk5AwjSVJyhpEkKTnDSJKUnGEkSUrOMJIkJWcYSZKSM4wkSckZRpKk5AwjSVJy/x+qFJWKyFt9TgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 10\n",
    "# 创建孤立节点图\n",
    "G1 = nx.Graph()\n",
    "G1.add_nodes_from(list(range(n)))\n",
    "plt.figure(figsize=(4,4))\n",
    "nx.draw(G1, pos=nx.circular_layout(G1), node_size=500, node_color=\"red\",with_labels=True)\n",
    "# plt.savefig(\"孤立图.pdf\") # 保存可视化结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "708f6183",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cHDp06AAiQsuWLUVZImPfiKpXrw4LCwvIZDKUKVMGCxYswOvXr/H69WssWLAAZcqU0bwhVa9eXbQ3pK9fv6Jly5YgInTs2DHlUqgOVCoVypQpg2zZsulctpw8eTJsbGzSXBtd/QIAwcHBaNOmTZp6kpKSULRoUQQEBODLly9G28Qar3LlyuHVq1cGj5fIXEjGSELD0aNH4ePjA09PTxw4cIBTmQ4dOsDOzg7//fdfmt+Sk5Ph7u6OAQMGpPlN36BXvXp1FC9eXOe5/v33XxARfvvtN05tW716NWxtbREREaHzbcsYuvaKihYtilmzZul1FgCAZ8+e6dw72rRpkyDDeOvWLYSHh8PW1hZr1qzhVGbGjBkgIr39WKxYMdSoUSPN9/r6pX///nB3d9c54bh79y7s7OzQsWNHTm07cOAAPDw84OPjg6NHj3IqI/HrIxkjCTAMg6lTp0KhUKBUqVIpNuUNsXPnThARFi1apPP3o0ePgohw4sSJNL/pG/SWLVsGmUymd9bcq1cvWFlZcY4BunbtGnLlygUHBwds3LjR6PHx8fHYtm1bGi+6KVOm4OH3zXs+6PKqa9KkCWevug0bNsDe3h4hISG4du0ap3Neu3YNVlZW6N27t87fX758CZlMhuXLl6f5TV+/HD9+HESEY8eO6axz4cKFICL8/fffnNr47NkzlCxZEgqFAtOmTctQBQyJHwPJGGVyPnz4gJo1a4KIMHDgQCQlJXEq9+bNG3h6eqJKlSp6B5J+/frB09NT57KavkHv1atXkMlkemVlvn37htDQUERFRXF2F/78+TMaNWoEIkKPHj3SlGPji1q1agUnJyfR4otSw8YbhYeHg4jg5OSkN94oISEB3bt3BxGhUaNGRpfAtMvly5cPuXPn1ruUt3TpUsjlcp3u8vr6JTk5GR4eHujfv7/OOhmGQUxMDLy8vPDmzRtObU1KSsLAgQNBRKhVq5ZZ9tkkfh4kY5SJOX/+PHLmzAlnZ2ds376dczmGYVC3bl24ubnpfYtiGAZBQUFo166d3nPrGvQAoHjx4jqXkFjOnTsHpVKJYcOG8Wrz3LlzYWFhgcKFC+P+/fsa5QU3NzcQEYKDg82mvJCaa9euYfjw4TqVGO7fv69xp583bx6vt4ahQ4dCqVTqvK4s1atXR4kSJXT+Zqhf2rZti+DgYL31Pn/+HK6urqhXrx6vNm/btg3Ozs7w9/c32G6JXxvJGGVCGIbBokWLYGVlhfz58+P+/fu8yq9evRpEZDC6/saNGyAi7NixQ+fvhga9KVOm6Nxc12bMmDGQy+U4efIk53arVCosXrwY9vb2Gg+4HDlyYODAgemmSZcahmFw4cIFDBw4ENmzZ9d45Tk4OGDJkiW8NOpOnDgBuVyOsWPH6j2GdRKZOnWqzt8N9cv27dtBRLh586be+jdu3Agi4ry3xXL//n1ERUXBysoKixYtkpbtMiGSMcpkxMbGolmzZiAidO7c2ahXVmoePXoER0dHNGvWzOBxEydOhK2tLb59+6bzd0OD3u3bt3W6HWuTlJSEwoULIzAwELGxsXqP06XW7e3tjZw5c4KIMHTo0B/CzTg5ORlDhgwBK9rq5eUFbfXus2fPGhygY2NjERgYiCJFihhcamXd5/Xpxhnql2/fvsHW1haTJk0y+Lc0bdoUTk5OePz4scHjUhMXF4dOnTqBiNC8eXOD/Srx6yEZo0zEzZs3ERYWBltbW/z++++8y6tUKkRHRyNr1qxG1/eLFCmC2rVr6/3d0KAHqAMyW7dubfAct2/fho2NDTp37pzie4ZhcOnSJQwePBj+/v4gInh4eKBr1644cuQIVCoVVCoVJk6cCLlcjrJly+Lly5cGz2VOXr58ibJly0Iul2PixIma9h05cgRdunSBh4cHiAj+/v4YPHgwLl++nMYwderUCba2tkbFSVu1aoXQ0FC9vxvrl1q1aqFo0aIGz/HhwwdkzZoVZcuWFaQ+vnbtWtja2iIsLMzgW5jEr4VkjDIJ69atg52dHUJDQwXvicycORNEpFeMk+X58+cgIqxcuVLvMcYGvYEDByJLlixG31rmzZsHIsLu3btx8+ZNjBw5EiEhISAiuLi4oF27dti/f7/et4WDBw/C09MT3t7eOHLkiMFzmYPDhw/D29sbnp6eOHjwoM5jkpKSsG/fPrRr1w4uLi4gIoSEhGDUqFG4efMmdu3aBSLC/PnzDZ4rKSkJbm5uGDRokN5jjPXLihUrIJPJUkoL6WD//v0gIsyaNcvgcfq4fv06QkJCYG9vj3Xr1gmqQ+LnQjJGvzjx8fHo2rUriAhNmjTh7JWVmhs3bsDa2ho9e/Y0euyiRYsgl8sNelUZG/ROnDgBIjJqIP777z8EBQVBqVSCiDSKA3///Tdnb7vnz5+jdOnSUCgUmDJlSrrlM5o8eTIUCgVKly7N2Z0+ISEBf//9N5o3bw4HBwcQEZRKJYKDg3XGemlz+PBhEJHBfTZj/fLmzRvI5XIsXrzYaFt79OgBa2tr3Lhxw+ixuvjy5QuaNGkCIkK3bt1EE5iV+DGRjNEvzIMHD1CwYEFYWlpiwYIFggfZxMRE5M+fH6GhoXr3gLSpUqUKSpUqZfAYY4OeSqWCp6enWgE8FY8fP8a0adNQsGBBTVCppaUlSpQowXsPjCUpKQmDBg0CEaFmzZpmdTN+//49atSoASLC4MGDObvTp+bbt28oXrw4LC0tNUG5BQsWxPTp03Xu1/Tp0wdeXl4Gl86M9QsAlCxZElWrVuXUvpCQEOTPn19wqgyGYbBgwQJYWlqiYMGCgmK9JH4OJGP0i7Jz5064uLggR44cOHfunEl1DR8+HEqlklM9X758gZWVFWbMmGHwOC6DXvv27REYGAiGYfDixQvMmTMHxYsXBxHBysoKtWvXxvr16xEbG4v169eDiPDHH3/w/vu02bFjB5ydnZEzZ06zuBmfO3cOOXPmhIuLi15PQ678/vvvICJs2LBBcw1q164NKysrEBGKFy+OOXPm4MWLF2AYBgEBAejQoYPBOrn0y/Tp02FlZcXpLfvs2bNQKpUYMWIE778vdT05cuSAi4sLdu7caVJdEj8mkjH6xUhKSsLgwYNBRKhevTrev39vUn2nTp2CQqHAmDFjOB3PKmwbE/HkMuixg23hwoUhl8uhVCpRpUoVrF69Gp8+fUpzfOPGjeHs7IwnT55waqs+7t+/j/z584vqZswwDBYuXAhLS0sUKFAADx48MKm+J0+ewNnZGU2aNEnz26dPn7B69WpUqVIFSqUScrkchQoVAhEZ3X/h0i///fefXiVwXYwePRoKhcKo8rsx3r9/j2rVqpn8RinxYyIZo1+IFy9eaPY+Jk+eLMiTSZvY2FgEBQWhUKFCnB/85s2bIzw83Ohx+ga9Dx8+YMWKFahcuTIUCgWICAEBAVi6dCnevXtnsM7379/Dx8cHFSpUMPlvj4+PR5cuXUBEaNasmUluxtru9F26dDF570OlUqF8+fLw9fU1Otl4+/YtlixZgoCAABARFAoFKleujJUrV+oUUOVijAAgLCxMpxq4LhITE1GwYEEEBwebLFqrUqkwadIkyOVylClTxqgjhcTPg2SMfhEOHToELy8veHl54fDhw6LU2aVLF9jY2HAWGU1KSoKrqyuGDh1q9FjtQe/Lly/4448/UKNGDVhaWkImk6FUqVKYN28eqlatisKFC3Nu8969e0FEmDNnDucyhvj9999hZ2eHsLAwQRvxN27cQO7cuWFnZ2fyEiLL7NmzQUT4559/OJcpVKgQqlatinnz5qFkyZKQyWSwtLREzZo18ccff2iW3LgaoyFDhsDV1ZXzJOXWrVuwsbFB165dObfZENr3+6FDh0SpUyJjkYzRT452vEx0dLRoM8U9e/aAiDB37lzOZQ4ePAgiwpkzZ4weywpvli9fHjY2NprluN9++w1Pnz7VHLdq1SoQEWdvMwDo2rUrbGxs0uRQEopQg8Iasty5cwv2KEvNzZs3YW1tjW7dunEu8+zZMxARVq9erfnuyZMnmDFjBgoXLgwigo2NDerXr4+pU6dyMkanT58GEfEyBHPmzAERYe/evZzLGOLFixcoU6YM5HI5Jk2aZPLbsETGIhmjn5h3795p1tCHDBki2hr6u3fv4O3tjYoVK/LaL+nVqxd8fHz0Dgrx8fHYvn07mjZtqjFAuXLlwqRJk/RKEr19+xYKhUKvMrguvn79iuDgYBQsWFCwF1dqYmNj0bRpU05LbfHx8ejcubMoS3zaJCYmokCBAsiVKxev5a6FCxdCoVDoXea8f/8+Jk2ahHz58oGIQESIiYnBjh079LrHq1QqeHt761UG11emQoUK8PHxMbrkypWkpCSNckW1atVM3iOVyDgkY/STcvbsWWTPnt0s3kWNGjWCi4tLijcUYzAMgxw5cqBTp04pvk9KSsLevXvRunVrODs7g4iQO3dujewLF4+10qVLIyYmhtffcPr0aSgUCowaNYpXOUNwcUJ48OABChQoAEtLS9E11kaOHAmFQsHpzVObypUro0yZMpyO3bJli0aSiIjg7OyMNm3aYO/evWkmOx07dkTOnDl5/Y1Pnz6Fs7MzGjduzOtvMIa29+jZs2dFrVsifZCM0U8GwzCYP3++2eIu1q1bx8nrKjWXL1/WKCEkJyfj4MGD6NSpE7JkyQIiQmBgIIYNG4arV68C4L43AagTxVlaWvLOmDpixAhBg7cx9Lln79ixAy4uLmZxC2eN68iRI3mV+/z5MywtLTknJNTul6tXr2Lo0KEIDAwEEcHd3R2dOnXCoUOHkJycrFF+uHLlCq82/fHHHyAirF+/nlc5Y2jH1c2fP18SW/3JkIzRT8SXL1/QuHFjs0Wks7PWRo0a8S47evRo2NraokuXLvD29gYRIVu2bOjfvz/Onz+fZmDgY4zu3btnVCVcF9rLWlyCdfmgHbg6cOBADBgwAESEGjVqiL5U9PXrV+TKlQsFChTgvezIqmhzVWbX1S8Mw+DcuXPo378/smXLphGb7dKlC2xtbTm7/WvTsGFD3m/fXBBLcUQi/ZGM0U/C9evXERoaCnt7e9FnlIB6wKlYsSKv9XztQcrS0lIzSPXs2RMnT540ODPlY4wAICIiwqhSuC7YDf8ePXrwLmsMhmEwbNgwzT7L8OHDzTIb7969O6ytrQWJhjZt2hR58uThfLyxfmEYBidOnEDPnj01kw5LS0v0798f586d4/z3v3v3Dj4+PqhUqZJZrtn69ethb29vkhajRPoiGaOfgDVr1mhUjMXyEEvN3LlzOXs6pV6+YcU7hw0bxjkdA19jNGzYMLi4uAhySJg1axaICPv27eNd1hCsyKqbmxvc3NzM4mb8zz//gIgwe/Zs3mUTExPh7OyM4cOHcy7Dp1+Sk5MxdOjQFPdAYGAghg4dqlmONQTrsTlv3jzO7eODtkr92rVrzXIOCfGQjNEPTFxcHDp27Gj2/C5sDEiXLl0MHjN69Gjkzp07xcb2P//8g9mzZ0OpVPLSc+NrjM6ePQsiwoEDBzifg0WlUqFcuXKcUl9wrW/ChAkp0k+8fPkS0dHRKdJAmMr79+/h6+uL8uXLC6rv33//BRHxkoPi2y/v37+HQqHAnDlzsHfvXrRp0yaFo8qYMWMMxql17tyZVywbX2JjY9G8eXMQETp16iRYu1DC/EjG6Afl3r17msyXixcvNttmbFJSEgoVKoSgoKA0xo51+c2bNy+ICPb29mjWrFkal9+KFSuiXLlyvM7Ld9BjGAa+vr6cVMN18fjxYzg5OaFp06aCyrO8e/cOVatW1fkmqP2mUK1aNZPdl5s0aSIoSR1Ljx49kDVrVl73Dt9+AYCyZcuiUqVKmn8nJCRgx44daNq0Kezt7UFEyJs3LyZNmpTGA1GIygdfGIbB4sWLYWVlhaioKN6ZjSXSB8kY/YBs27YNTk5O8Pf3x4ULF8x6LlY37NSpUwD0B0Nu3rxZpxPAx48fYWFhwXsZScig17lzZ+TIkUOwYV6zZg2ICBs3bhRU/syZM8iePTtcXV2xa9cuvcf9/fffcHV1Rfbs2QV78m3YsAFEJHh5iWEYZM+e3eDbri6E9MusWbNgYWGhUy/w27dv2Lx5M+rXr58iuHnGjBka54WTJ09CLpcLcoTgw/nz55EzZ044Oztj27ZtZj2XBH8kY/QDkZSUpPHKqlWrllnTGADqpS+FQoHevXtj7ty5KFmypGZDOrVMjD5YtWy+LuZCBj12j+Hy5cu8zsXCMAzq1asHV1dXXooODMNg7ty5sLCwQOHChfHo0SOjZR49eoRChQrB0tIS8+bN42VAnz17BhcXF9SvX1+w4b106ZIgtQMh/fLw4UONerghWNmnmjVramSfSpYsiXnz5qF3796cleFN4cOHD6hZsyaICAMGDJDEVn8gJGP0g/Ds2TOULFkSCoUC06ZNM3uMxNOnT+Hl5QUHBwfIZDIolUrExMRg5cqVvIxg48aNkTdvXt7nFzLoxcfHw8HBAaNHj+Z9Ppa3b9/Cy8sLMTExnK7x58+f0ahRIxARevTowTlhH6BerurevTuICI0aNeLkZswwDCpVqgRvb2+8ffuW87lSM2rUKDg6OvJqLyCsXwAgMjJSp4K4Pj58+ICVK1eicuXKGmVxBwcHeHl5ie7unRqGYTB16lQoFAqUKlWK18REwnxIxugH4N9//4WHhwd8fHxw9OhRs53n48ePWLVqFapUqQKZTKZZMlm8eLGggS8hIQGOjo68AzEB4YNegwYNEBUVxft82rDBmgsWLDB43LVr15ArVy7Y29sLXtoD1Etu9vb2CAkJwbVr1wweO3/+fBCRwWVALuTLlw8NGzbkXU5ov4wYMQJOTk6CvB3fvHmDRYsWaZaG5XI5qlSpglWrVulUFheLI0eOaFK+C3GMkRAXyRhlICqVCmPHjoVcLke5cuXw6tUr0c8RGxuLdevWoVatWpqka+Hh4SAik9foWbdjIftaQgc9NseR0E19lo4dO8LW1hZ3797V+fvq1atha2uL8PBwUdzpb926hfDwcNja2mLNmjU6j7lz5w5sbW3TSCrx5dGjR4ITDQrtF7acqe7zo0ePTnGPWllZoVatWpokimLz8uVLlC1bFnK5HOPGjZPEVjMQyRgZIjEROHcOWLQI6NgRqFEDqFRJ/d+OHdXfnzunPo4nb9++RUxMDGQyGYYPH845PocLcXFx2LJlCxo0aABbW1sQ/T8d9dWrV5E1a1aUK1fO5Aeva9euyJYtm6AlRaGD3ocPH6BUKnmpieviy5cvCAgIQNGiRVPsG8TFxaFDhw4gIrRs2dLk/DvafP36FS1atAARoWPHjincjJOSklCkSBEEBgaaPOjOmTMHFhYWgt4qhPYLwzDw8/PjpSauC5VKhbJly8LPzw9Xr17F9OnTNenlbW1t0bBhQ2zZskVUF+3k5GQMHz4cMpkMMTExwpdHzTheZAYkY6SLhw+BwYMBFxeASP2xsPj//6f+t4uL+niOm/inTp2Cn58f3NzcsGfPHlGanJCQgJ07d6J58+ZwcHAAESEyMhITJ05MkXW1WbNmJrkLs7CDT/fu3QWVFzroAUD58uVRoUIFQefV5sSJE5DL5Rg/fjwAtTt9vnz5YGVlhaVLl5pl345hGCxZskTjZsz2zbhx4yCXy3Hy5EmTz2HK9TGlX7p16wY/Pz+Tr9ujR4/g6OiI5s2ba767d+8eJkyYgMjISBARHBwc0Lx5c+zcuZP3vpg+du/eDTc3N2TLlk3jXcoJM48XmQXJGGnz8SPQrh0gkwEKRcqbydhHoVCXa9cO0OHiCqgHotmzZ8PCwgJFihQx2SAkJSVh3759aNu2rSYCPiQkBKNGjdIpHbNp0yakzmsjFHbQ2r9/v0nlhQx6psz8UzNkyBAolUrMmDEDTk5OCAgIwMWLF02u1xgXLlxAQEAAnJycMGPGDCiVSk5JCY1h6pujKf2yb98+wcu2qWHzWP35559pfrt58yZGjRqFkJAQjfpD27ZtsW/fPpO94x4/fowiRYrAwsICc+bMMWxYzTxeZDYkY8Sydy/g5cX/ptJ1k3l7q+vT4tOnT6hfvz6ICL169RI8m1OpVDh8+DC6dOkCd3d3EBH8/f0xZMgQXL58We/D8/z5c7i6uqJu3bqizPhHjBgBZ2dnwfmCTBn02D0RvsriuoiNjYWHhwdYkVNzbpin5sOHD6hevTqICB4eHqLsibCK2EInOqb0S2JiIpycnAQ5tKSGYRjUqVMHbm5uer3dGIbB5cuXMXjwYPj7+2uuY5cuXXD48GHBy9AJCQno2bMniAgNGjTQrRZv5vEiMyIZIwCYM0d9Y8jlpt1Y7Iet5/vs9MqVKwgODoaDgwNv5WlA/dCdPHlSk7yOiODn54e+ffvi7NmzRo0LwzCIiYmBp6cn3rx5I+gSpYavK29qTBn0ALW3mBB1cW2ePn2KEiVKQKFQaOKt0ptevXpBqVRCoVCgRIkSePbsmUn1NWzY0CRvQ1P7Rairvy7evHkDT09PVKlShdM9fubMGfTt2xd+fn4gIvj6+qJXr144deqUoAnYxo0b4eDggFy5cqXU2jPzeJFZkYzR3Lni3FB6PiebNYONjQ3y5MnDS3+LYRhcuHABAwYMQI4cOUBE8PT0RPfu3XHs2DFes76FCxeCiERLwvfgwQNwCXI0hKmDntA4Gpb9+/fD3d0dvr6+OH78OKZNmwaZTIaDBw8Kqk8IBw4cABFh+vTpOHbsGHx9feHh4SF46VOMOCxT+0VoELQ+du7cCSLilelXpVLh2LFj6N69Ozw9PUFEyJEjBwYOHIgLFy7wMky3b99GREQEbGxssGrVKrOPF5nZIGVuY7R3r3lvrO+faRUrcvbKunbtGoYPH46goCAQEdzc3NChQwccOHBAkMfd3bt3YWtriw4dOvAuqw9D8i9cMXXQu3jxIoQoDLDu9DKZDBUqVMDr168135cuXRrZsmVLl6W6jx8/ws/PD2XKlNFMLF6/fo0KFSpALpdj7NixvJeZWIWKS5cuCW6Xqf3y6dMnQfJQhmjfvj3s7Ozw33//8S6bnJyMAwcOoEOHDnBzcwMRITg4GMOHD+ecWuLr169o1aoVKqTDWAGiTLtkl3mN0ceP6jVfsV619XxUMpl6TdjAwH3nzh2MHTtWE1vh5OSEVq1aYc+ePYL3ZAD1g1isWDEEBASImmQsOjo6hTCmEEwd9IRor7158waVK1eGTCbDqFGj0hj3hw8fwsHBAS1bthTUJj60aNECjo6Oad4gkpOTMXLkSEFuxp07d0b27NlN2hM0tV8AtXBu2bJlBZdPzZcvX+Dv74/ixYubFAKRmJiI3bt3o1WrVnBycgIbzzR27FjcuXPHcOGPH/HVyQnJ5jZEcrnR8eJXJfMao3btTN985PpRKNTn0+Lhw4eYPHkyoqKiQESws7NDkyZNsG3bNtEyuLJpDo4fPy5KfYBatVqhUGD+/Pkm1SPGoNe9e3fOqtQnT56En58fsmTJYvBtasWKFSAibNmyRXC7jLF582YQEVauXKn3mL1798LNzQ1+fn6c3IxZVXNTkwiK0S/z5s2DQqEQNePtsWPHNOk5xCA+Ph7btm1D48aNYWdnByJCVFQUpkyZonuJMYPHi8xA5jRGDx6o3SoF3izjSJ3ZM4xPOZkML0+fxsyZM1GkSBEQEaytrVG3bl1s2rRJ1OBKQL2MZWFhgcGDB4taL6t8bap+mBiDHpd8PQzDaJYVixYtiidPnhisk2EY1KpVC1myZMHLly8Ft00fL168gJubG2rXrm3UiD5+/BhFixbVLHsZOt6UfE/aiNEvT548gSmK4/oYNGgQLCwsRHe9//r1KzZu3Ii6devC2toaRISiRYti5syZaocSHuPFFyKMIEIlIrh8HydWCBlnZLJMF4eUOY3R4MGCZzlPiGBLBDuexiiZCOOJYGFhgerVq2Pt2rW6XUZFIC4uDmFhYYiMjBQtIJClXr16KFiwoMn1iDHoGctkqu1O37t3b85Lnq9fv4aHhweqV68uauArwzCoVq0aPD09NXtVxkhISECvXr1ARKhfv77efTo2E66pcTZi9AsAFChQAPXr1zepjtQkJCQgMjIS4eHhZkuS9/nzZ6xduxbVqlWDhYUFZDIZ1vj5qZfbOTznD74boGxEKGOKMVIogCFDzPI3/qhkPmOUmJgyUprnpyERyhKhNN83IyLE29nhvRn051LTt29fWFpackr9zIf4+HjY29tj3LhxJtcl1qDXtGlT5MmTJ833V65cQVBQEBwdHXUGThpj27ZtICIsXbrUpPZps2TJEhARtm/fzrvsn3/+CQcHBwQHB+PKlStpfo+IiECzZs1MbqNY/TJ27FjY29uLtuTMcuXKFVhaWqJfv36i1quL9+/fY8XixfisVHJ/xonw4vv/nzXFGBGpx6lMJB2U+YzRuXOCDdFhIiiIcEWgMQIRYOJDboxDhw5BJpNh6tSpotfNql2LYeTEGvQ2btwIIkqRvXPFihUad3qjG9MGaNOmDezt7VPIKQnl3r17sLe3R9u2bQXXcefOHeTJkwc2NjYp9pvu378PIhIUw5YasfrlypUrICLs3r3b5DalZsqUKZDJZDh06JDodafBhPHCZGOUDuPFj0TmM0aLFgm6KZKJkIcIHb//W7AxWrzYbH/ap0+fkD17dpQqVUpU4VWWjh07wt/fX5SlK7EGvc+fP8PS0hIzZ87Et2/f0KZNGxAR2rZtqzMzLR8+ffqEHDlyoESJEiZdz+TkZBQvXhw5c+Y0eWlW19/422+/wdLSUpRlX7H6hWEY5MyZ02QFcl0kJyejZMmSyJ49u0nhBZwQOF6IZozMOF78aGQ+Y9SxY1oRQw6fuURwIsJrU4yRhYX6/GaiVatWcHBwwIMHD0SvW6VSwdvbWzSVArEGPQCoXLkyihQpgsjISNjY2GDFihWmN/A7R44cgUwmw+TJkwXXMWnSJMhkMhw5ckS0di1fvhzW1taIjIxE4cKFERMTI0q9YvYLqxhijrQM9+/fh729PVq3bi163SkQOF6IYozMPF78aCgps/HiBVFSEq8i74hoBBENJyJ3E06NpCT6dOsW3b9wwYRadHPw4EFauXIljRw5kt6/f0/v378Xtf5r167RixcvKDQ0lC6I0P6bN2+m+K8p2Nra0p49e8jX15dWrFhBQUFBorSRiMjOzo6aN29Ow4YNo+zZs1NQUBCv8nfu3KFhw4ZRixYtyM7OTrR2RUZG0sqVK6lPnz70/PlzqlOnzg/XL6GhofT8+XP6/fffKSwszOT6UtOnTx8aM2YMhYeHU5kyZUSvn4jI/9YtckpKIplZajdCUhLRy5cZceYMQQYAGd2IdKVyZaK9e3kV6UxE+4noOhFZfv+uDBG9JaJrPE+/h4hieJaRkJDIGHYTUWWBZc8RUUEiWkFErYQ2oFIloj17hJb+qch8b0ZWVrwOv0tEi4loJhE91/o+noiSiOghETkSkSuHukBERUqXpvMzZvBqg8E6Aerbty9dvXqVNmzYQK6uXFrCn/r161NoaCiNGTNGlPpu3rxJzZo1o7Vr11JoaCjv8q9evaLBgwfT9evXqVevXrRr1y7y9vamKVOmiNK+1Ny5c4eaN29OTZs2pR49enAqM2vWLFq3bh2tWbOG9xsVV/r370+vXr2imJgY+u233ygsLIwmTZpEnp6eguoztV9SM2LECLp16xZt3LjR5Lp08f79e6pfvz5FRkbS9OnTSSYT9x3Gv08fwuHDGfNmRERkbZ1RZ05/MniZMP3huQZ88Pu6r6FPzwxcA162bBmICNu2bRO1Xm3u3r0LIsLmzZtFq9OUvYm9e/ciS5Ys8PPz0ySjGzduHOzs7MwWfwL8f+/n6NGjRo8VY6/JGHFxcbCzs9MkBzxx4gSyZs2KLFmy4J9//hFUp5h7RoDaJZ2IBOnKcWXr1q0gIixfvlz8yqU9o3Qj8xkjnt4xb4jwl45PGKkD2/4itas35zpF9I5hN3HbtGkjWp26mDZtGqytrUXJt8MiZNDT1m2rVKlSinQY165dAxHh77//Fq2Nus5fokQJo15xnz9/Rs6cOVGyZEmzeDWysIrW2oKfb968QaVKlfTq7xlDbGP05csXWFlZYfr06aLUp4/WrVubx3ln0SIwAo2J5E3Hj8xnjEyIG9D+lCZhrt27xo0TRbSUdW/NkSOH2d1bS5YsiWrVqolaJ99Bj1W0lslkOhWtGYZBQECAqOrkumDjhdoZ0A5r27Yt7O3tU8Q+mYP27dsjMDAwjau9SqXCmDFjIJPJULFiRc5qD4D4xggAqlatilKlSolWny7EDmv48uULfv/9d/QuVYr3Mz6HCGOJ0Pm7Marz/d9jifCR75ghxRn9wpiowGCKMfqoUEBJBBsbG9SrVw9//vmn4FgYNvDv8OHDIl+glLx58wZyuRxLliwRtV4+gx6b68fd3R379u3Te1yfPn3g5eVlFldibQwpKZhDuUEXKpUKXl5e6Nu3r95j9u3blyJnExfMYYwWL14MuVwuWmJHfZga8P3t2zf8+eefqFevHmxsbEBEKF6oEOJsbXk959lJ/5L+Az5jhqTAkAkwQZtO8Oe71tT9+/cxadIk5MuXD0QEe3t7NG3aFNu3b+csnXL58uV0k0RZsWIFZDKZ6KKhXAY9hmEwffp0KJVKlChRwqg46+HDh0FEnFSuTYHVmPPw8Ejx1mEuTTtdnDx5EkRkNHbp6dOnKF68OJRKJWbMmGG0XeYwRi9evIBMJjOoUi4WrBSWLskkXcTHx2P79u1o0qQJ7O3tQUTIly8fJk+e/P8lvwwcLzITmdMYPXxokmq3oI8OFd7bt29jzJgxyJ07N4gIzs7OaN26Nfbu3atX8DI+Ph558uQxq1ikNrVq1ULRokVFr9fYoPfx40fUrl0bRIR+/fpxEjlNSkqCm5ub6Erlukitvm1ute/UDBo0CFmyZOG0JJWYmIh+/fqBiFCnTh2DyQPNYYwAoEiRIqhdu7aodeoiLi4O4eHhiIyM1Du5S0xMxJ49e9C6dWtNXqOwsDCMGTNGdzbmH2S8+NXJnMYISNf8JIxcbjQ/ydWrVzFs2DAEBgaCiJAlSxZ06tQJBw8eTDHgDBw4EBYWFiZl8+TK169fYWNjg0mTJolet6FB7+LFiwgICICTkxO2bt3Kq96WLVsid+7cYjXTINp5idIjD5I2oaGhaNWqFa8yf/31F5ycnBAYGKg3DYO5jNHEiRNha2trskQTF9j0KYMGDdJ8l5ycjIMHD6Jjx47IkiULiAiBgYEYNmwYJ63F+ObNzZ9YT/utSMpnlIn49EmdUdHMmV6TifBSocAFjqKODMPg/Pnz6N+/P7JlywYigre3N3r06IEFCxZAJpOJlmDMGOz+x82bN0WvW9egxzAMli5dCisrK+TLl0+QQOmWLVtARCYJpPKhRYsWsLe3h52dXbpkiAXUb9REhL/++ot32f/++w/58uWDtbU1li1bluZ3cxmjGzduQN8+mzmYMGECZDIZFixYgB49esDLywtEhGzZsmHAgAE4f/4856XUc+fOISJ7djyXyTinkhD8kTK9ZlL27k2XmU6XoCBYWlpi4cKFvPYSGIbBiRMn0LNnT3h6eoKIYGVlhT59+uDcuXNm35do06YNgoODzVJ36kHv69evaNmyJYgIHTp0ELwEGRsbC2tra7Ooluvi/fv3sLKygpWVlaiZTQ0xZcoUk1zt4+Li0KFDBxARWrVqlSKxo7mMEcMwCAoKMkm1nOt5zp49iz59+sDS0hJEBC8vL/Ts2RMnT57k/fwtWLAAlpaWyJ8/P16sWpU+b0YGMhH/ymRuYwQAc+ea98aaNw9xcXHo3LkziAjNmjUTNIi0a9cO1tbWaNKkiWaZISAgAEOHDsWVK1dEN0zJyclwd3dH//79Ra2XRXvQu337NiIiImBra4vVq1ebXHe1atVQokQJEVppnGnTpoH1lDJ3LA1L8eLFUb16dZPrWbVqFWxsbBAREaHZKzGXMQKAfv36wcPDQ/TYK4ZhcOXKFQwZMgQBAQFgl7mbNGkCa2trg274+vjy5QuaNm0KIkKXLl3+v/+UDuNFZkUyRsD/bzCRluyS9dxYv//+O2xtbZE7d27cuHGDc/N27NgBIsLi7wFwSUlJ+Oeff9CmTRs4OzuDiJA7d26MHj0at27dEuWSHDt2DESEY8eOiVJfathBb9KkSXBwcECuXLlw7do1UepeunQp5HI5r/gaIVy9ehWWlpbo06cPevfuDSsrK9H+Bn28evUKMplM5xKbEK5evYpcuXLBwcEBGzduNKsxOnr0KIiIs5u5MW7duoXRo0cjNDQUrANQmzZt8M8//2gcgBYtWgQiws6dOznXe+PGDYSGhsLOzg6///57mt8TZsxI+Zyb+mHHnUxsiADJGP2fvXvVa7UmOjUwcjmeE2FBnTo6T3P9+nXNjf7HH38Ybdbr16/h6emJqlWr6nz7SUhIwI4dO9CsWTONa2revHkxceJEk4Iu+/fvb5ZZLMupU6c0bxSNGjUSNQX7y5cvIZPJzCMP852EhATkzZsXYWFhiIuLQ1xcHHLnzo18+fKJnupdm2XLlkEmk+GViBmDP3/+jIYNG4KI0LhxY7MZI/Zte8CAAYLruH//PiZOnIi8efOCiODg4IBmzZphx44dOq87wzCoUqUKPD09OcU5/f7777CzszM4YezVqxeqWlgg0d3ddCcohUI97mTSpTltJGOkzcePai8WmQwM35tMoVC7Y7Zrhznjx4OIcODAAZ2n0bsEkAqGYVCnTh24ubnhxYsXRpv/7ds3bN68GfXr19cE7RUqVAgzZszAkydPeF2K4OBgs63vP3r0COHh4SAiDBw40Cx7X8WKFUPNmjVFr5dlyJAhUCqVuHDhgua78+fPQ6lUYujQoWY7b40aNVC8eHHR62UYBnPnzoVSqeT9JsGHNm3aIFeuXLzKPHnyBNOnT0ehQoVApA4ab9CgATZv3szJO+/58+dwc3ND3bp19d5r8fHxmqX0pk2b6l1K//fff0FEmDFjRorxgrdjg9Z4kRmdFXQhGSNdPHyIuw0a4J32zWNhodGoYr7/m/3tg1yuDlD7HhegUqlQpkwZ+Pn56Y3p0N4cLVCggE5NrVWrVoGI8Oeff/L+E758+YI//vgDNWvW1GzklixZEnPnzjUaB3Pz5k2Yy/Np165dcHV11Xg3mWMGDgCTJ0+GjY1Nis15sTh+/DjkcjnGjRuX5rexY8dCLpfjxIkTop+XdbWfMmWK6HWzsPeco6OjWVKGsx6axpaTX758iblz56JEiRIgIlhaWqJmzZpYt26dIDmtTZs2gYh07kk+ePAABQoUMOpk9OHDB/j5+SE6OjqlysfDh5jv6oovlpYGxwv23wn29inGCwk1kjHSQ/v27ZHL3x/MuXNqscKOHfGhdGnsJsKH0qXVarqLF+Pg9OlQ6ni4Hj58CEdHR7Ro0cLgec6dO4ccOXLAxcUFO3bs0Hz/6NEjODo6onnz5ib/LR8+fMDKlSsRExMDpVIJuVyOcuXKYcmSJXj37l2a4ydNmiR6TEhycjKGDRsGIkLVqlVx4MABsxqjW7duwRxq5l++fEFAQACKFCmiMzA5KSkJRYoUQWBgoKjCssD/1al1BmaKBLtnVLx4cchkMgwbNkzUpVrWoOpSM3/79i0WL16McuXKQS6XQ6lUIiYmBitXrjQYqMuVZs2awdHREY8ePdJ8t2PHDri4uCBnzpw4d+6cwfLNmzdPUx7Qmrxt3qzWktMzXjCLFqG6ry86ZcIYIi5IxkgHrO5Xnz59Unyva3PX0MO1cuVKcEm98P79e1SvXh1EhMGDByMhIQHR0dEG36yEwj7wZcuWTfHAr1q1SnOuokWLolatWqKd8+XLl5rzTZw4ESqVyqwb5Sy5cuUSXdG8Y8eOsLW1xd27d/Uec+fOHdja2qJTp06inrt169YICQkRtc7UsP1y9uxZTJgwQTNxEXOPqmbNmihWrBgAtdLGqlWr0kyUFi9ejLdv34p2TkA9KcuaNSuio6ORkJCAQYMGgYhQo0YNo275bCqMVatWpflt0qRJOt/Cdd3jvXv3Thf9xJ8RyRjpQJ/ul74BVPvh0oZhGNSuXZvTno9KpcLkyZOhUCg07qn//vuv6X+MAV68eIE5c+ZolkKsrKxQuXJlyGQyLFy4UJRzHDlyBN7e3vD09MTBgwc136eHMRowYADc3d1Fm9n//fffICIsWLDA6LHz588HEWHXrl2inDs5ORlZsmTBwIEDRalPH6n75cCBA/D09ISPjw+nPE5cYIO3K1eurFlCLlGiBObOnctpb9QU9u/fDzYsQqFQYMqUKUb3LNk9pzp16ug8Vt/kTdc9nl76iT8jkjHSgT7dL30D6PLly/WKiRrzhksNu2Zva2ubYvA2N48fP8b06dORI0eOFJvEW7ZsERSAyjAMpkyZAoVCgdKlS+P58+cpfk8PY3T8+HEQkSiD6Js3b+Dl5YWYmBhO/cgwDCpXrgwvLy9RZvhHjhwBEZllL0obXf3y/PlzlCpVCgqFAlOnThXkcMI61zRo0EDjXJMjRw5Mnz4djx8/FvNPMMiBAwdga2urd/8oNca88VjPzRUrVqT5Tde1TE/9xJ8NyRjpQJ/ul74B9PXr15DL5XrTBmzfvh3acUL6SEhIQFRUFIKCglC6dGnI5XJMmDAhXV/pq1atioIFC2LixImIjIzUuM82b94cO3fu5OS2/OHDB9SsWRNEhEGDBuncW0kPY5ScnAwPDw+T1c0ZhkG9evXg6uqaxqga4tmzZ3B1dUX9+vVN9hjs27cvPD09zX4v6OuXpKQkDBw4EESEWrVq4cOHD0brSkhIwM6dO9GsWTM4ODiAiBAZGYmJEyeiQIECoufIMoRKpdIsO5YuXRpBQUHInz+/UQFeNk5Jez9XmyVLluhNj6HvWqanfuLPhGSMUnHnzh3o0/0yNICWKFHCYFR827ZtYWdnZzD98rBhw6BUKnH+/HkkJSVhyJAhmg1/XY4GYsNm5Zw2bZrmu5s3b2LUqFEICQkBEcHFxQVt27bFvn379BqZnDlzwtnZWe8DzB5nbmMEqJUrgoKCTDIGa9euBRFh48aNvMtu2LABRKQzeJIrDMMgMDAQ7du3F1wHV4z1y/bt2+Hs7Ax/f3+dx7AB2W3btoWLiwuICCEhIRg1alQKjcOpU6eKnj1YH+/evUOVKlVARBg6dCiSk5Nx7tw5KJVKDB8+XG+5//77D3Z2dgYVHKpVq4aSJUvq/E3ftWT1Ew3tO2ZGJGOUCkMPiaEH1djDxaaiLl68uM49jJMnT0Iul2Ps2LEpvv/777/h6uqK7Nmz48yZMwL/Km6wKtS6HhKGYXD58mUMGTIE/v7+ICK4u7ujc+fOOHz4MJKTk7Fo0SJYWVkhf/78RgNu08sYseoVfBQvtHn8+DGcnJzQtGlTwW1o0qQJnJ2decd6sVy/ft2ssT/acOmX+/fvI3/+/LCyssKiRYuQnJyMQ4cOoXPnznB3d9fsyQwZMgSXL1/WORFgJ33mVjk/c+YMsmfPDldX1zQp6ceMGQOFQqFz/yY5ORnFihUzmGKe1UHUnrxpo+9aGiuXWZGMUSoMveEYelANvVGxHDlyBDKZLE1KhtjYWAQGBqJw4cI63zYePnyIQoUKwdLSEvPmzTObQGqLFi0QFhZm9DhWjLJv377w8/PT7DERqfPlcNljSi9j9O3bN9ja2gpSOlepVChXrhx8fX05LUvp4/379/D19UX58uUFLbNNmDABdnZ26ZK/imu/fPv2TZNviu17Pz8/9OvXD2fPnuV0j+bOndtsSudsEK+FhQUKFSqUxh0bUL/FFSpUCEFBQWkmkRMnToRMJjO432jsDcfQtTT0RpVZkYyRFq9evTK492PsQQ0NDTX6cA0YMCBNPqLOnTvDxsbGYPxIQkICunfvDlY+R0jgnyGSkpLg6uqKITyzS167dg05cuSAhYUFHB0dNRvTAwYMwIULF/QOSulljACgdu3aKFKkCO9ys2bNAhEZTHXOlX/++QdEhNmzZ/MuW7hwYdTRIy8lNob6hU1vMmDAAGTPnh2sHpxSqUTOnDlx/fp1XucaPHgw3Nzc9CaSFMrnz5/RqFEjEBG6d+9ucJ/z9u3bsLGxQZcuXTTfsfmQjHkutmjRwuDej6Frye41mVs/8WdCMkZasLpf+hQKjA2ggwYNMvpwsZlaIyIiEB8fj927d4OIMI+jSOL69ethb2+PkJAQUUU5Dx06BCLC6dOnOZf5448/Uuh4JScn48CBA+jYsSPc3NxARAgKCsLw4cPTtDU9jdHKlSshk8l4uQ3fuHED1tbW6N69u2jt6NatG6ytrXnlh3r+/Lne+BZzoKtfrl27hmHDhiEoKAhEBDc3N3Ts2BEHDhxAcnJyCr3FdevWcT4Xq094+PBh0dp/7do15MqVC/b29tiwYQOnMnPnzgURYc+ePZpMsXny5NEr0wX8f/JmyCvO0D2eHvqJPxuSMdKiRo0aOuOFWIwNoGx8krGH6/Lly7C0tES3bt3g7e2NSpUq8Vp6u3XrFsLCwmBra4s1a9ZwLmeI3r17w9vbm9MyUnx8PLp06QJDOl5saudWrVppUjuHh4dj7NixuHPnTroaozdv3kAulxv1ZmRJTExE/vz5kStXLlHlhL5+/YpcuXKhQIECnNKoA2pvLoVCIXoAqD7Yfvnrr78wduxYhIWFgYjg5OSE1q1bY8+ePTrbrq232LVrV4MDOYtKpYK3t3ea4HKhrF69Gra2tggPD+elXs8wDCpWrAhvb29069YNlpaWuHLlisEy7OTNULyQsXu8aNGiZtVP/NmQjNF3DCkpsBi7ufQpN+hi8uTJICLY29vj2bNnvNsbGxuL5s2bg8i0ZHSA+mH09/dHx44djR7LVcdLm/j4eGzbtg1NmjSBnZ2dxsMqvTblAaBUqVKoUqUKp2NHjBgBhUJhFoeRM2fOQKFQYOTIkZyOj4mJQenSpUVvhy4ePHiAHj16gEitpm5nZ4cmTZpg+/btnIyLtt5iwYIFdeotpqZDhw4ICAgwaR9UO1lgixYtBE0gnj59qlG956L9x2XyZmy80KfckFmRjNF3uOh+cZnNc324WHdhd3d3fBKo2sswDBYvXmxSmm4AuHLlCie1AD46Xvr4+vUrNm3ahLJly2oGvSJFimDmzJmCjDJXpk+fDisrK6N7badPn4ZCocCoUaPM1paRI0dCoVAYXRL9/PkzLC0t1QrRZuLZs2eYOXMmihQpAlaQlIgwefJkwYOktt6isckGq2px9epVQedi06hbWVlhyZIlgo3ap0+fNEkrjbnhc528GRsvzKWf+LMiGaPvcNH94mKM2IfL0H7OkydP4OzsjOrVq8Pe3t5k/bQLFy7A398fTk5O2Lp1K+/yY8eOhb29vd7Zb1JSEgYPHsxZx4sL7LUcN24cqlevDgsLC8hkMpQuXRrz588XVQsNUA9aRIYV0L9+/Yrg4GAULFiQ8zKaEBITE1GgQAEEBwcbHPBZpWmhkwx9vHr1CvPnz0epUqUgk8lgYWGBGjVq4Pfff9coPZi6fJpab1HfPmpcXBzs7Ox0KqAb46+//oKTkxMCAgJSpPIQQuvWrWFvb49q1arB2dkZT58+1Xvs1atXOU3euIwX5tBP/FmRjBH+n/TLmPcMl5uLfbjGjx+v83eVSoUKFSrA19cX79+/x9KlS0FEgoyINh8+fECtWrVAROjfvz+vwbRAgQKoV6+ezt9evHiB0qVLc9bx4krqa/n+/XssX74clSpVgkKhgEKhQIUKFbB06VJRjB8AhIeHG1RB79q1K2xsbETLlmuImzdvwtraGt26ddN7TLNmzRARESHK+d69e4elS5eiQoUKkMvlUCgUqFSpElasWJHCbV3MvTxtvcUyZcrodSCpW7cuChYsyLnexMRE9OvXj5cahCHYVZFly5bh3bt38PHxQcWKFfXe6+PGjTM4eWPhci3F1k/8mZGMEf6fDtmY7hfXB7Vu3booVKiQzt/mzJkDIsI///wDQP3KX716dbi7u5v8NsAwDKZNmwaFQoESJUpwWvZ6+vQpiAhr165N89uhQ4fg5eUFb29vUT2eAMPX8vXr11i4cCHKlCmjmblXrVoVa9asEbykCQBDhw6Fq6urzln63r17QUSYM2eO4Pr5Mnv27BT3gjaJiYlwcXHBsGHDBNf/6dMnrFmzBlWrVtW8eUZHR2PhwoV6XYrN4Vhy+PBheHl5wcvLC4cOHUrz+5o1a0BEnO/XEiVKQKlUYvr06SZPjl69egV3d3dUr15dUxd7L8ydO1dnmYIFC+qdvGnD5Vqy+onHjh0T9gf8QkjGCEC/fv046X5xfVBXr16t8+G6desWbGxs0LVr1xTfv3z5ElmyZEGtWrVEefM4evQofHx84OHhgf379xs8dv78+VAoFCnePlQqFSZOnAi5XI7o6GijyfiEwPVaPn/+HLNnz0axYsVApFYWr1OnDjZs2MB7T+PMmTMgojQCtGxQaoUKFdJVB1ClUqF8+fKat2Rt2HxPZ8+e5VVnbGwsNmzYgNq1a8PKygpEhGLFimH27NmcdPXM5eX44sULREdHQy6XY9KkSSmu87t376BQKIyqoe/fvx/u7u7w9fUVZfBmGAY1a9aEu7t7mnu8S5cuOt+Snz17BiLi5MXK5Vqy+on9+/cX9kf8QmR6Y8QwDIKCggzqT7FwfVDZh0s7DUNiYiIKFiyod5+AjebWpf4rhFevXqF8+fIaiSF9g2ylSpVQtmzZFG2vVq1aCh0vcyBk0Hv06BGmTp2KAgUKaLy9GjVqhK1bt3J2Jfbx8UGvXr1SfN+4cWOT5HpMgZUbatKkSYrve/bsCV9fX06Tk7i4OPz1119o1KiRRpG6QIECmDp1qk7lAUOY0+VeW2+xWrVqKfQWo6OjUblyZZ3lVCoVxo4dC5lMhgoVKogWKLp8+XK9qimxsbEICgpCoUKFUrxJL1iwAAqFgpNWJNdr2bZtWwQHB/Nu/69GpjdGN27cAJF+VV5t+DyoZcqUSfFwjRo1yqgHVcuWLeHg4MDJJZYLycnJGDFiBGQyGWJiYtLEqnz69AkWFhaYNWsWAMM6XmJj6qB39+5djB8/HhERESBSp8lu2bIldu3aZXC/rFOnTsiZM6dmkF+/fj0nDypzwnpWskGaDMMgR44c6Ny5s94yiYmJ2LVrF1q0aKFRvsiTJw/Gjx9vUIzXGOkR/6Wtt8i++c2cOROWlpZpdODevHmjybE1cuRI0SZHDx48gIODg051fpZTp05BoVBg9OjRmu8qVaqE6OhoTufgei1ZVX8+wdC/IpneGE2YMIFzim0+D+pvv/2mebjY2JIRI0YYLPPx40dky5YNpUuXFnW5aM+ePXBzc4Ofn1+KID1WUfrBgweYN28eLC0t9ep4iY2Yg97169cxYsQI5MqVC0QEV1dXtG/fHvv3708zeLGKF1euXMHTp0/h4uKCBg0amE3vjwsMw6B+/fpwcXHBs2fPcPnyZY0igDbJycnYv38/2rdvD1dXVxARcuXKhZEjRwoWgk1NegUja+stzp8/H/fv3wdRSmX0kydPws/PD25ubti7d69o505OTkapUqWQPXt2o3uQw4cPh0KhwNmzZzWTt5kzZ3I6Dx+dP6H6ib8Smd4YFS5cGLVr1+Z0LJ8HlX241q5dyyvq/uDBg5DJZKIr+j5+/BhFihTRvAkxDIMmTZogIiKCs46XmJhj0GMYBhcvXsSgQYOQM2dOEBE8PT3RtWtXHD16FCqVCvHx8XBwcMDo0aNRqVIleHt7p0t6DmO8fftWo8YxatQoODg4ID4+HiqVCkeOHEHXrl3h4eEBIkLOnDkxaNAgXLp0SXQjmp7KGNp6i40bN0Z4eDiaNm0KhmEwc+ZMWFhYoGjRoqIn35s6dSpkMplOZ4rUsGocISEhGkcLrisXfK5lrVq1BOkn/kpkamPEV/eL74OaJ08e5MqVi7ceWZ8+fWBpaSk4EFAfCQkJ6NWrF4gIdevWhb29Pdzc3HjpeImFuQc9hmFw+vRp9OnTB76+viAiZM2aFX369EG5cuU0auO7d+82y/mFsGvXLhCp1a/Lly+P3r17p2n7mTNnzPoWl57GiIXVW8ySJQscHBxQp04dEBF69eol+uToypUrsLS0RN++fTmXYXUKc+XKhcjISM7l+FxLIfqJvxqZ2hjx1f3i+6CyWl18I+jj4uIQFhaGyMhIs7ypbNq0SRNpnzVr1nSJq0lNeg56KpUKR48eTfF2QUQICwvDxYsXM3SJjoV9q2O14IgIHh4e6Natm+atLj3ICGMEqD1Ns2bNCiKChYWFweBkocTHxyMyMhLh4eG85bOmT58OIjIYp5YaPteSr37ir4icMjHbtm2jEiVKkJubm+h1f/z4kfbt20dERBEREbzKWltb05o1a+j69es0atQoUdsVHx9P+/fvp8TERJLJZPTu3Ts6deqUqOf40ZDL5VSiRAmaO3cuPXr0iIKCgoiI6P79+5QvXz4KDQ2lkSNH0s2bN9O9bTdu3KCRI0dSaGgo5cuXj+7fv09ERMHBwfT48WOaM2cOlShRguTyX/tRPXnyJL1584ZkMhklJSXR/v37KT4+XtRzjBo1im7cuEFr1qwha2trXmXZZ3jv3r308eNHUdtFRJQlSxYqUaIEbdu2TfS6fxoy2hpmFGyKbT5vLXxmOk2bNoWjoyO8vb3Ro0cPQW0cN24c5HI5jh8/Lqh8au7du4eoqChYWlrC1dUVHTp0QOvWrUFEaNu2LScnDrHIqBn42LFjIZfLUaBAAVSoUAG7du1Cy5YtNR5pERERJnukGeO///7T6wlYvnx5FCxYEHK5XJBEjqmkd798+/YNbdq0ARGhTZs26NixI1xdXWFpaYmoqCijGYO5cuzYMcjlcr3KKMbo3r07fHx84OjoiGbNmnEqw/dactVP/FXJtMbozz//5K37xfXm2rhxoyYwrkuXLsiePbugpaCkpCQUKVIEAQEBJt+g27Zt0+h4/fHHHyD6f9K45cuXw9raGpGRkXqzVopNRhijc+fOQalUYtiwYZg9ezYsLCzw8eNHAOql0a1bt4oSq6OL1DFStra2mhgpdsno48ePsLCwwJw5czB06FAolcp0N9bp2S937txBZGQkrK2tNXl92CSE69atg7+/P5ydnU0WEv3y5Qv8/f1RtGhRQYn8GIZBtmzZ0LVrV01A+6ZNm4yW43stWf3EzZs3827jr0CmNUbNmzdHeHg4rzJcbq7nz5/D1dUV9erVA8MwGmkR7cyufLh79y5sbW05pXfQRWJiIvr3759Cx2vkyJFwcnJK4d136dIlBAYGwtHRMV0ehoyYgYeGhiIqKgoJCQl4+PAhiAjr169PcyyrYlCnTh1BKgYsz58/x6xZs9KoR2zcuFFn4PO6detARHj06BESEhKQL18+5M6dO13SjbOkV79s3rwZjo6OCAoKwuXLlzXfJyQkwNHREaNGjUqhtzhgwADBGWE7dOgAOzs7wROtixcvamSbGIZB3bp14erqavReEHItw8LC0KJFC0Ht/NnJlMYoKSkJLi4uGDp0KK9yxm4uhmEQExMDLy8vjVOE9sMllAULFoCIeAeiPnv2TKeOV968edG4ceM0x3/8+BF169YFEaFPnz5mVa5Ob2PUq1cvWFlZpUiNre86aGNI3+3Nmzdpjn/z5k0aXb1q1apx0tVr1KgR8uXLp/n3tWvXYGVlhd69e/P8a4Vj7n5JTExE7969QUSoV6+ezmuifR209RZLlizJO83Izp07QUQp1FD4MnLkSDg6Omqcid68eQNPT0/ExMQYXPEQci2HDBmiVz/xVydTGiNW94tv8jRjNxdrNFJLyzds2DDFIMMXbSOnawDUxf79++Hh4ZFGx8vQGwF7rpkzZ0KpVKJYsWJmk8hJT2P077//6vRqZN8QuXos6lO+njdvHubOnZtGcXzZsmWcFcf1TVpYL64DBw5w+2NNxJz98uTJExQrVgxKpVIT66YL7TdEFm29xX///ZfT+VijUaVKFZM8JvPmzYtGjRql+I6LkRNyLU+fPq1TPzEzkCmNUc+ePeHj48PbXdbQzWVoOY3dozFl7yH18p8+WB0vuVyuU8eL3SsxNks/ceIEsmbNiixZsuhUlTaV9DJGHz58gJ+fH6Kjo9P094ULFzTLL3y5d+8eWrVqBTc3N40rtpubG1q3bi0o/xC7nHvx4sUU36tUKpQpUwZ+fn6a/S1zYq5+2bt3L7JkyYKsWbMaVcfX3jvTRltvcdy4cQafX3Y5zc3NjdfSamrYydu6devS/NahQwfY2trqXf4Tci3ZVOyp9RMzA5nOGHHR/dKHvpsrKSkJRYsW1etooO/h4ou2Y4Qu3r59i5iYGIM6XuXKlUPFihU5ne/NmzeoWLGi6LpgQPoZo+bNm8PR0VHnREB7Y5oLbJbaunXrwtraGkSEokWLYvTo0Rg9erQmW6q1tTXq1auHTZs2cfZQNOTo8vDhQzg6OqbLXoLY/ZKcnIyRI0dCJpOhUqVKnN/sK1SogPLly+usz5DeIgsfRwNDpHZ00ebLly8ICAhAsWLFdD4bQq9lav3EzEKmM0b6dL+4oO/mGj9+PORyucEZn76Hiy9NmzaFk5NTGomUU6dOGdXxev/+PRQKBebNm8f5fMnJyRg9erToisnpYYxYj0lDChvdunWDn5+f3gc/Pj4e27ZtQ5MmTWBnZwciQlRUFKZMmYKHDx+mOf7BgweYPHkyoqKiQESwt7dHkyZNsH37dr3K4gzDIGvWrOjevbvedq5cuTJdPK3E7JfXr1+jfPnykMlkGDNmDK+ViLlz50KpVOpNnMfqLWbLli2F3iKg9lzk44JtCGOTt+PHj0Mul2PChAlpfhN6LbX1EzMTmc4YjRkzRqP7xRddN9eFCxegVCoxZMgQg2WNPVxc+fDhA7JmzYqyZctCpVKBYRjN7M2YjherDi1kH+iff/5BlixZ4OvrK0rck7mN0fPnz+Hm5oY6deoYnGHu378/TTsSExOxZ88etGrVCk5OTiAihIeHY+zYsbhz5w7nNty5cwdjx45FeHg4iAhOTk5o1aoV9uzZk8I55Ny5cyAig3shDMOgdu3acHNzM6tkjFj9cuzYMfj6+sLd3V0TQsCHx48fg8iwmrq23uKcOXPAMAxUKhWio6ORNWtWUZ41pVJpdPI2ePBgWFhYpFliFXotWf3EsWPH8m3yT02mM0b58+dHgwYNBJVNfXPFxcUhd+7cyJs3r9FNcPbh+uOPPwSdW5t9+/aBiDBp0iTUr1+fs45X/fr1kT9/fsHnffr0KYoXLw6lUokZM2aYtIxgTmPEMAyqVKkCT09Po8tCiYmJcHZ2xrBhw3DgwAF06NBBsw8UFBSE4cOH49q1aya36dq1axg+fDiCgoI0+0sdO3bEgQMHMHToUDg7Oxv1Xnz9+jU8PT1RtWpVsy3hmNovDMNg+vTpUCqVKF68OJ4+fSq4LVFRUUafVW29xQYNGmDixIkgIqNJJbnw+++/c5q8JSQkIDIyEmFhYSnc8E25lvXr10eBAgV4l/uZyVTG6MmTJ0ZnW4ZIfXPxFTSNiopCw4YNBZ07NU2aNIFMJoOtrS0nHa/4+HjY29ubPNtKTExE3759QUSoU6eO4E11cxqjxYsXg4iwc+dOg8epVCocO3YMwcHBUCqVICJkz54dAwcOxIULF8wy4DMMgwsXLmDAgAHInj07iAhKpRK5cuXC8ePHjS5l7dixA0SEJUuWiN42wLR++fjxI2rXrg0iQr9+/UwODeCzirFp0ybY2tpCJpOhadOmJp2XpUGDBpwnb1evXk0jwGrKtWRXMUwx5j8bmcoYzZs3z6SlMu2bS0iqh9GjRwteItRm5cqVsLa2hpWVFcLDwzk99GKvQ2/ZsgWOjo4IDAxMszzBBXMZo//++w92dnZo3769zt8ZhsHZs2fRt29fjXK3i4sLiAhbtmxJ101jhmGwefPmFG3w8/NDv379cPbsWb1tadeuHezt7QV57RlDaL9cvHgRAQEBcHJy0pk5VQh89ncTExMRFhYGKysrWFtbY+XKlSadm10qGzNmDOcyqVNTmHKPs/u78+fP5132ZyVTGaOKFSuiXLlygsuzN9ehQ4cEJcG7dOmSYOcJQK0i0LZtW42O15EjRzgl7QPM46Hz33//IW/evLC2tsayZct4lTWHMUpOTkbx4sWRM2fOFBlDGYbB5cuXMWTIEPj7+4OI4O7uji5duuDw4cP48OFDioy36Qmb4fTjx484fPgwunTpAnd3dxARAgICMGTIEFy+fDlFv33+/Bk5c+ZE8eLFRU8Lz7dfGIbB0qVLYWVlhXz58omq6cfH83X48OFQKpU4evSoRm+xXbt2gvUW2cmbtjqEMVIn7TP1Hi9btiwqVaokqOzPSKYxRqx79ezZswXXwd5c1apVg4ODg05vKkMwDIPs2bMLciu/e/duGh0vgFs6c5VKBR8fH7PELnz79g3t27cHEaFVq1Y6ZW50YQ5jNHHiRMhkMhw9ehQAcPPmTYwaNQqhoaGat4+2bdti3759aSLcK1WqhLJly4rWFq5ER0enSE8PqEMF9u3bh7Zt22remEJDQzFq1ChNuo8jR45AJpNh0qRJoraHT798/foVLVu2BBGhQ4cOZpEt6tmzJ3x9fQ1OonSlB2f1FvPmzSvIQHbq1Ak5cuTgPXnTTmdu6j0+a9YsTjGBvwqZxhixUd18DYg27M1FRFixYoWgOnr06GH04UqNPh0vQL08UbBgQQQHB+s1BGfOnDF7VPeqVatgY2ODiIgI3L592+jxYhujixcvwsLCAh07dsSECRMQGRkJIoKDgwOaN2+OnTt3GnTwmD9/PhQKBWfFBDF49+4dFAoFFixYoPeYhIQE7Ny5E82bN4eDgwOICJGRkZg4cSI6dOgACwsLwbqHuuDaL7du3UJERARsbGw4J6cUAquWcvbsWZ2/x8bGIigoCIUKFUozwdDWW9yyZQvnc7KTt549ewpq8/Lly0FEmDZtmkn3uDG1lF+NTGOMGjVqhLx585pUB6soXKZMGcHLXcYeLm0SExPRp08fgzpegHpgsLGx0Ru8OXTo0HTRu7py5QqCg4Ph4OCAjRs3GjxWTGN09+5deHl5wcbGBkRqReyGDRtiy5YtnGfrT58+NRhQbA7YwEyuemtxcXHYsmULGjRooPlbbWxs4O3tLdryGJd+2bBhA+zt7ZErVy7RsxGnhtWRHDZsmM7fu3TpAhsbG70TICF6i6ZO3hiGQc2aNeHs7GzyPR4ZGWlUP/FXIVMYIzHEShmGQcmSJU12GzX2cLFw1fFimTNnDohIZ8BrWFgYrwyVpvD582c0aNAARIQePXrofRsx1Ri9ePECc+bMQYkSJTRvq9HR0Vi/fj1iY2MF1VmgQAHUq1dPUFkh1K1bFwULFhRU9suXL1i3bh2io6M1f3+JEiUwd+5cvHz5UnCbDPVLQkICunfvDiJCw4YNU+zLmZNmzZrpVNjfs2cPiAhz5841WF5bb5GLu7kYk7dXr15plljPnTsnuB5dCvu/KpnCGLFvNEK8vliWLl2qeehNnc03a9YMERERen9nA0y56HixqFQqVKhQAT4+Pnj37p3mezZHijnSOOuDYRjMmTMHFhYWKFy4sE4pHiHG6O3bt1i8eDHKli0LuVwOpVKJwoULayL8TWXs2LGwt7c32duRC3FxcbCzsxMlgR6rkFGkSBEolUrI5XKUK1cOixcv1iuXow99/fLo0SMULlwYFhYWmDt3brp6HW7atAlEKXOPvXv3Dt7e3qhYsSLntrB6i8YCccPDw0WZvM2YMQNExMnBSB+sfqKQwOGfjUxhjLp27So4wR2gFsW0t7dHzZo1RTFG7MOVOotlcnIyRo0axVvHi+XJkydwdnZOoTCckdkjT506hWzZssHV1RW7d+9O8RtXY/Tx40esXLkSMTExmoG2fPnyWLJkCR48eIDs2bOjZMmSoniVXb16FURpVdfNwd9//w0iEiWgNjk5GSVLlkSOHDnw4MEDLFmyBOXKldMY7JiYGKxcuZJTTJiuftm1axdcXV2RLVs2g44y5uLz58+wtLRMobresGFDODs7847D0dZbHD16dBpv2Hv37ok2eWOvpY2NjeCMtax+Yrdu3Uxuz4/OL2+MGIaBn5+fQd0vQyQnJ6NEiRLIkSMHDh8+LIoxYh+u3377TfPd69evNQ8JXx0vbdiocVZluFSpUqhatapJ7TWFt2/fokqVKpDJZBg2bJjGaBgyRl++fMEff/yBmjVrwtLSEkSEkiVLYt68eSmWoNq0aQN7e3vRUlMzDAN/f3/BiQz50KFDBwQEBIj2hnH//n3Y29ujbdu2mu9evnyJuXPnapaXLS0tUbNmTaxbt07vUqZ2vyQnJ2PYsGEgIlSpUoX3W5aYVKlSBaVLlwbwf2ckoWom2nqLqSd9M2bMEG3yxl5Lb29vkyZMxvQTfxV+eWPE3hBC93kmT54MmUyGI0eOiLrpHhMTgzJlygBQiy2aouOlDcMwaNCgAVxcXHDlyhXI5XIsXrzY5Paagkql0ojJlitXDq9evUpzLb99+4bNmzejfv36ms35woULY8aMGTrlWLZu3Qoi4h3fZIzevXvD29tb8GSACyqVCl5eXujTp4+o9bJLybrSdD958gQzZsxAoUKFNLP1Bg0aYPPmzSlicdh++eeffzTLoRMmTDDr9eDCokWLIJfLcfXqVTg7O4uiZKJrObx06dKoUqWKyXUD/7+WS5YsgUwmw5QpUwTVw8p/XbhwQZR2/aj88sZoxIgRnHS/dHH58mVYWlqif//+AMT1AFu4cCHkcjnGjh0rio6XNux6OivQaU5hTT4cOHAAHh4e8PHx0Qycv/32G5o1awZ7e3sQEfLmzYtJkyYZfNt59eoV3N3dUb16ddFni4cOHQIRmXU56tSpUyAiHD58WNR6GYZB9erV4eHhYVBd/f79+5g0aRLy5s2rcX9v1qwZduzYoWlblixZ4OnpmW5J/Yzx/PlzEKkFa1Pvi5qCtt4imwds0aJFotStPV7069cPlpaWvIJoWRITE+Hk5ISRI0eK0q4flV/eGEVGRqJJkya8y8XHxyMiIgIRERGaDW0xjdHNmzc1DhFi6Hilho0gz5Ejh6j1msqjR48QHh4OmUym+ftDQ0MxevRoTUCnIVi3WXd3d5O8xvSRlJQEV1dXoyrspjB48GC4ubmZxdX+5cuXyJIlC2rVqsXJUN+6dQujR4/WBAZbWVmBiBAYGGhQAT4jyJEjh0kKJvrQ1lskIk73IRe0x4u4uDiEh4cjT548ghxkGjdubHJoyo/OL22MHjx4ACLChg0beJcdOHBgmoBCsYzRxYsXERgYCIVCgSJFiphUlz6+ffsGpVIJCwsLTkGo5iQ5ORmHDh1C586dNVI3bABngQIFeAWasgGFYumf6aJFixYICwszW/25c+dGy5YtzVb/li1beAdmv3v3DmXKlNEMyKxkUufOnXHo0KEMX6a7desWlEollEqlWZQeAKBw4cJQKBQIDAwUJZA49Xhx6dIlWFhYYNCgQbzrWr9+vclB+z86v7QxmjlzpiA5jaNHj+qUWhHDGC1btgzW1tbIly8f+vTpAzs7O7M8XKy6c/bs2XVGp5sbhmFw4sQJ9OzZE97e3iAiZMuWDf3798e5c+c0OXwcHByQM2dOTtdUW2rFnLDipfrSSZvCnTt3QES8FAGE0LJlSzg4OODBgwdGjz137hxy5swJZ2dn/PbbbyAirF27Fv369UO2bNlARBpFgpMnT6b7RnpSUhIKFSqkaYsxNXYhfPv2Dba2tujbt69gvcXU6BovJk6cCLlcjmPHjvGq69OnTxmmn5he/NLGSJfulzFYEcoSJUqk8X4xxRh9/foVrVq1SqHjdf36dbM9XG3btkVQUBBOnDgBuVwuShyOMRiGwfnz59G/f39NegRvb2/06NEDJ06cSDG7Zq/l9u3bERUVBSsrKyxatEjvQJdahNKcfPnyBVZWVrwU2bkydepUWFtbCw7M5crHjx+NivkyDIOFCxfC0tIS+fPnx/3799Pc4yqVCsePH0ePHj3g5eWlmeAMGDAA58+fTxfDNHr0aCgUCpw8eRKBgYFo166d6OdgJ283btxIobfYunVrznqLqdE1XrBivv7+/ryDhjNKPzG9+GWNERfdL10YkucXaoxu376tU8eLYRgEBgbqTXcglOTkZHh4eKBfv34AgGHDhkGpVJoUCW6Iq1evYtiwYQgMDNRsfnfq1AkHDx7U686aej29U6dOICI0a9ZM50CdWp7f3FStWhUlS5YUvd4SJUqgWrVqoterC0NpTmJjY9GsWTMQETp37qx5Ozd0jycnJ+PgwYPo1KkTsmTJAiJ1AsJhw4aJEi+li7Nnz0KhUGD48OEAgL59+8LT01P0ZcN27dohKCgohXFl9Rbz5MnDK8Mvi75raSzNiT4yQj8xPflljdGaNWt46X4BwPbt2zWumLoQYow2btwIBwcHvTpeffv2hZeXl6gP1/Hjx0FEGvXqxMREREVFISQkRLCkfmpu376NMWPGICwsDEQEZ2dntGnTBnv37uW0JKjrWq5duxa2trYICwvDzZs3Nd9fuXIlTeIyc7NkyRLI5XLegceGeP36NeRyOZYuXSpancbQlQDyxo0byJ07N+zs7NIkmuR6jyclJWHv3r1o3bq1RoMtLCwMY8aMEW2P8tu3bwgJCUH+/Pk1Dj5HjhwBEXFWJuGCSqWCp6enZvKmjbbe4qZNm3jVa+hasgkgd+zYwbk+Vj9x7dq1vNrxs/DLGqN69erx0v16/fo1PDw8UK1aNb1LD3yMUUJCAnr27GlUx4t9uE6ePMm5rcYYMGAA3N3dU7yVXL9+HVZWVialkXjw4AEmTZqEfPnygYhgb2+Ppk2bYseOHUZTnqdG37W8fv06QkNDYWdnh3Xr1iE+Ph6RkZEIDw8328a1Ll6+fAmZTCZYnV0Xy5cvh0wmM4sXoD7i4uIQFhaGyMhIJCQk4I8//oCdnR1CQ0Nx48aNNMcLmXDFx8dj+/btaNq0qcZFP1++fJg8eTKnPSt99OzZE1ZWVinamZycjCxZsmDgwIGC603NiRMnUkzeUqOtt9izZ0/O97qha8kwDKpWrQpPT0+DbvipKVCgAOrXr8/5+J+JX9IYsSm2uep+MQyD2rVrw83NzWBMDtcH9dGjRyhSpAgnHS/24RLiYaOPXLlyoU2bNmm+Z7Wy/v33X851PX36FL/99hsKFy6sCZasX78+/vzzT5PesowpMDRp0gREhKioKCiVSpN0BYVStGhR1KpVS7T6atasiWLFiolWH1cuXLgACwsLREVFgYjQtGlTvQoDpjrpfPv2DX/++WeK4OUiRYrgt99+4xVHt3//fk0cWmpat26NkJAQQe3TxcCBA9NM3lKjrbdYpEgRTm7vxq7lixcv4Obmhjp16nDee0tP/cT05pc0Rrt27QIRcZa3X7lyJYgImzdvNngclwd19+7dvHW8WrVqhdDQUE7HGuPWrVt6o/BVKhWio6Ph5+dnMPX6q1evMG/ePJQqVQoymUwjI/PHH3+IpnFn7FoyDIN+/fqBiJA1a1aTZthCmTRpEmxtbUVZ2vz69StsbGwwefJkEVrGjwcPHsDX11cT02Zo4BMzlo6VdapRowYsLS0hk8lQqlQpzJs3D69evdJb7sOHD8iaNSvKli2rc/maVd8QazkwJCQErVu35nQsq7fo5uaWRm8xNVyu5Z9//gki4pwT6sqVKyAio+f+GfkljVHHjh3h7+/Pabbx8OFDODg4oEWLFkaPNba5O2zYMMhkMt46Xn/99ZdoD9fkyZNhY2Oj1wPo0aNHcHR0TKNK/O7dOyxZsgTly5eHXC6HQqFA5cqVsXLlSoOGSyjGHtQvX77A398fERERyJEjB1xcXMzidWgINjB5+/btJte1bds2UQMqubJjxw64uLgge/bsiIiIQEBAgMEJhTky8AJqA7NixQpUrlwZCoVCI3i7dOnSNGoKzZo1g6Ojo061d+D/hl2ovI427ORt69atnMto6y0OHz6ck5OOIZo3b27w79WGYRjkzJkTnTp14tzen4VfzhipVCp4e3ujd+/enI4tU6YMsmXLJljRGFC/SbAqyUJ0vGJjY2FtbS3Kw1WsWDHUrFnT4DGrVq0CEWH16tVYvXo1qlSpolHELlu2LBYtWiTqxr0ujD2oHTp0gJ2dHe7evYv379+jWrVqICIMHjw4XWOmgoODU4iPCqVNmzbIlSuXCC3iRlJSEgYNGgQiQvXq1fH+/XvcvXsXtra2BoVgzWWMtHnz5g0WLVqE6OhoyGQyWFhYoGrVqli9enWKe9MQNWrUQPHixU1ui7HJmz506S2mho8yvZ+fH6KjozmNHb169YKPj0+GByKLzS9njFhtLS4uwOweClf9LV0319GjR+Hj42Oyjlf16tVNfrjYTffly5frPSY2Nhbr1q2Dj4+PJtK+ePHimDNnTrpq2Bl6UHfu3AkiwsKFCzXfqVQqTJo0CXK5HKVLl063tvbv39/ofoIxkpOT4e7ujgEDBojYMv08f/4cpUuXhkKhwOTJk1MMWgsWLAAR4e+//9ZZNj2MkTZsksTixYtr7kcfHx+jSRKXLVsGmUxmcLmPC8WKFUONGjUEl9fWW0ztAMHnWv77779698hSc/DgQRCZVz8xI/jljBFX3a9r167BysqK0xsUi/bNxTAMpk6dCoVCgVKlSuH58+cmtVuMh4t1R07tnRMXF4e//voLDRs2hK2tLYjUgqQODg4oW7ZshkjT63tQ37x5A09PT1SpUkVnuw4dOgQvLy94eXmlS8zRsWPHQES8I+a1OXr0KIgIx48fF7Flujl48CA8PT3h5eWlU4iVYRjExMTAy8tL59tvehsj7XZFR0fDwcFBI+Bqa2uLRo0a4a+//krjSfnq1SvIZDKT3OS5TN648OzZM5QsWRIKhQLTpk3T3Ld8r2WvXr1gZWWF69evGzwuPfQTM4Jfzhhx0f1KSEhAvnz5kDt3bl7uwuzNdejQIdSqVQtEhIEDB4qybMQ+XKZIkFSrVg0lSpQAoP4b//77b7Ro0QKOjo4gIkRGRmLChAmagF72DUQslWI+6HpQGYZB3bp14ebmZtC4v3jxAmXKlIFcLsfEiRPNulzBvtWwyu1C6NevHzw8PERJAKgPlUqFCRMmQC6XIzo62uCb4/Pnz+Hq6op69eqlMfgZZYwWLlyYQo3kv//+w4QJE5AnTx4QERwdHdGiRQv8/fffmpij4sWLo3r16oLPuXTpUp2TNyEkJSVh4MCBICLUqlULHz584H0tv337htDQUERFRRl1Hze3fmJG8EsZo7t373LS/Ro6dCiUSiXvB469uXx9feHs7CzKxrY2xYsXF7xkwO47dejQAe3atYOrqyuICCEhIRg1alSKIFJt2rdvDzs7O/z333+mNJ03uh7U1atXg4g4BRcmJSVhyJAhICJUq1ZNtJQCumjbti2Cg4MFlWUYBkFBQWaRsGF59+4dqlatCiLCkCFDOE2ONm7cCCLCmjVrUnyfEcaI3cvq0KGDzt9v3LiBkSNHIiQkBEQEV1dXtGvXDu3btzdJWql69eqayZtYbNu2Dc7OzvD399ckuuRzLc+dOwelUolhw4YZPI7VT0zv59ac/FLGaNq0aUZvTlarbezYsbzqZhgGQ4cOBZE65YFY2UW1mTJlCu/NVJVKhSNHjqBy5cqaNXd/f38MHjwYly9fNroEx3qtFStWzKwz99SkHvRYL79mzZrxqmfnzp0ab7GzZ8+ao6kaZQ59Bt0QN27c4B1pz4czZ84ge/bscHV11bsPpI+mTZvCyckpRcxMehujpKQkFC1aFP7+/kbDBhiGwaVLlzB48GD4+/tr7veYmBgcOXKE1xsyO3mbOnWqqX9CGu7fv4+oqChYWFiAiHjLcI0ZMwZyudxgIDyrnzh9+nRTm/vD8EsZo5IlSxrU/YqNjUVgYCCKFCnCa2ktNjYWzZs319z8YkqRaHP79m1ObqYMw+DUqVPo3bu3Jn7E1tYWbm5uOHv2LO89IFalfOLEiaY0nxfag55KpULZsmWRNWtWQW7kDx8+RMGCBWFpaYn58+eLvgfGKjqnVnHnwsSJE0WLVdKGYRjMmzcPlpaWKFSokKDUAmw8T7ly5TQDeXobI3Zpke+eHMMwOHPmDFxdXTX7oL6+vujduzdOnz5t9B5gwymEaM5xIS4uDnXr1gWROmU7n7e3pKQkFC5cGIGBgQbLVa1aFaVKlRKjuT8Ev4wxevPmDeRyuV5dOQDo1KkTbG1ted2AN2/eRFhYGOzs7DBu3DizP6j6AvAYhsHFixcxcOBATZIxT09PdO/eHYcOHYKbmxsGDx4s+Lxs/qb0UjrQHvRmzpwJIuGp4QG16ka3bt1ARGjcuLFowbkstWrVQtGiRXmXK1KkCGrXri1qW758+YJGjRqBiNC9e3feUkzasCmt2dQE6WmMLl68KDi/D8ugQYOQJUsWHD58GN26dYOnpyeICDlz5sSgQYNw8eJFnYZJzEBzfbDX0traOo3eojFu374NGxsbdO7cWe8xixcvFl0/MSP5ZYzRihUrDOp+saoM8+fP51znunXrUuh4pceDOnDgQGTJkkWzZHb9+nWMGDECwcHBICK4ubmhQ4cOOHDggOaYw4cPg4hw6tQpweeNj49Hnjx50k0Djr2Wf/75J6ytrdGjRw9R6l2/fj3s7e0RGhpq1CuJD8buL128ePECMpkMK1euFK0d165dQ0hICOzt7bF+/XpR6uzevTusra3T7R4H0mrmCeXkyZMgIhw5cgSA2uHk33//RYcOHeDm5gYiQnBwMEaMGKG5H5KSkuDm5iaqBJcu2Gu5adMmhIaGwt7eHuvWreNcft68eQbVFsxxf2Ukv4wxMjRzffv2Lby9vVG5cmVOSzjx8fHo2rVrGh2v9HhQWdHGdu3aITw8HEQEJycntGrVCrt379aZnrxPnz7w9vY22auMVcfWpV4sNuy1DA0NFVVNHPj/26ytrW2aDXqhcHnzTo3YM9c1a9ZoVM3FVHL4+vUrcuXKhfz582vi9MxtjPr27ZtGTVwIKpUKXl5eOhXdExMTsXv3brRq1UrjURoREYG2bduCSFxxYl1ojxfaeovdunXjpC3HMAwqVaoEb29vvQ465njzzih+CWPEyoPoWtNnGAYNGjSAq6srp3QSDx480Ow/LFiwIIXxMqcxevjwIaZMmaIRs1QqlWjcuDG2bdtm8MZlGAYBAQF6PZH4MmXKlHTJG8ReS4VCYRbHA+19vo4dO4rytleyZElUrVqV8/FVqlQRZU0/Li4OHTp0ABGhefPmZknMd+bMGSgUCk1SOXMao0OHDkEmk4nmPNC+fXsEBgYanGjGx8dj27ZtaNy4MZRKJYjUIrxTp07lJMMjhNTjBcMwWLBgASwtLVGwYEFO+3zPnj2Di4sLGjZsqPN3c+1JZgS/hDFidb90rcmy7pUbNmwwWg/rmZUjRw6dHjBiG6Pnz59j1qxZKFq0qGZtuW7duihXrhwCAgI4vcVdu3bNYEQ9X5KTk1GyZEmzZ1RlxWkNSdOYCsMwWLx4MaysrBAVFaUzYSIfpk2bBisrK077UWJ5O927dw/58uWDlZUVFi9ebNYA5VGjRkGhUJjVGH369AnZs2dHqVKlRPPeZOPluCzLMgwDf39/lC9fHnXr1oW1tTWICMWKFcOsWbNMDl7XRt94cfbsWY3eIpfndv369SAi/PHHH2l+Y701xQ4zyQh+CWOkT/fryZMncHZ2RpMmTQyWT0pKwuDBg1PoeOlCDGP0+vVrLFiwAGXKlNHoclWvXh1r167V5Dzi83CNGzcOdnZ2ou7z3L9/H/b29pyVjPkSGxsLPz+/dJM0OX/+PHLmzAknJyedauZcYePYjKm7A/9XYzYlDmTr1q1wcnKCv78/Lly4ILgeriQmJmqSJZqiOGGIVq1awcHBQVQV9ri4ONjZ2WH8+PFGj009efv8+TPWrl2LatWqwcLCAjKZDGXKlMGCBQtMDoY1NF5o6y1yiQ1r3LgxnJ2d8eTJkxTfMwwjmn5iRvPTGyN9ul8qlQrly5eHr6+vwTS9bDS/Lh2v1Ag1Ru/fv8fy5ctRsWJFKBQKKBQKVKxYEcuXL9fZNvbhmjBhgtG6CxYsiLp16/JqDxeWLVvGyc1cCF26dIGVlVW6uhB/+PBBo5oxYMAAwaoZYWFhnBTemzdvjvDwcEHnSExMRP/+/VNE86cXbDBlgwYNRK+bdac2VX5HF3Xq1EGhQoWMHjd+/Hi9k7f3799j2bJlOp9TIX1gbLzQ1ls0pprx/v17+Pj4oEKFCmnGqP79+5td4SM9+PGNUWIicO4csGgR0LEjUKMGUKmS+r8dO+Ju//6IIsKJVDpcs2fPBhHhn3/+0Vu1ts6ZLh2v1PAxRqbOuOrUqYPChQsbPObZs2cgMq5wLASGYVCjRg24u7ubLEapzZ49ezQySukd6c8wDKZNmwaFQoGSJUvySknPMmTIELi6uho0Zqx22NChQ3nX/+zZM5QoUQIKhQLTp09Pd91A9h4nIuzdu1e0el++fIksWbKgZs2aZvmbWLVvY31aqFAhTpM3LisYxuA6XnAdh/bu3Qsiwpw5c1J8f+zYMSiJcGnZMr3jJBYtUo+jOhygfhR+XGP08CEweDDg4gIQqT8WFv///+//Zr7/P+Pioj7+4UPcvHkT1tbW6Natm86qVSoVJk6cyGlGoo2xm+vr16/YuHGjzrVovgMf+3AZWsNesGABFAqF2aRwXr16BXd3d9EGkHfv3sHb2xsVK1bEuXPnMkQDDfi/0rqHhwevrLcAcPr0abD6hPpgVZXPnDnDq+79+/frVYBOL9h7vHDhwvDx8RHl3mIYBtWrVxd9YqPN27dvoVAoUii9p0bo5O3Zs2c693Y3bdpkUC2Fz+RVe4Vm0qRJeldounbtChsbm/97Uz58CNXAgXgvkxkcJzX/rzVO/mj8eMbo40egXTtAJgMUipQX1dhHoQAjk2FLliyICgzUeaO8e/eO11qtNrpuLm0vHTs7OxAR8ufPb7KXDvtwGRIxrVy5MqKjowWfgwtiLq00atQIzs7OePr0aYYJcrJo56AaN24cZ7d4Lvmy+OabUalUGDt2rCbhnLkGbC6w/bJr1y44OzujcePGJtdpziVfbcqUKYOYmBi9vy9cuNDkyRvr9Zo/f34QEezs7NCkSROdXq987/HUeou6lvC/fv2K4OBglMmXD6o2bQSPk5DJ1OOsGZ2U+PJjGaO9ewEvL/4XN9UniQgJWbKo69Pi7NmzgnW8gP/fXKdPn9bELzg5OWniF8aNG4e7d++KdTVQunRpvQ/X58+fYWlpiZkzZ4p2Pn2Isem8bt26FB5BGW2MAPV+4/DhwyGTyRATE8M5O6+hTMJ8M3G+ffsWMTExkMlkGDFiRIav+2v3C+uJakpwrbmdYbT57bffYGlpqXcZrXLlyihTpoxo57t79y7GjRuHiIgI6IoHFHqPa3v16gp7uDlrFp4TQaX9NiTko1AA3t5pxsmM4scxRnPmqC+QXG7aBWY/bD1z54JhGMyfP98kHa/k5GRNYjLWAKWO7BabGTNm6H24WNVlMb2S9GGqO+7Tp0/h7OycIlbiRzBGLLt374abmxuyZcvGScWCVfPQFbB55coVGIqa1+bkyZPw8/ODm5sb9uzZI6jtYpM6Z1eDBg3g4uKCp0+f8q6LDRPIkSOHWcMEWO7fvw9W8SA17OSNS/I6IehSSqlTp46g5VrAgN7i93HSZEOkY5zMaH4MYzR3rjgXVs9n+fdXar46XiqVCseOHUO3bt3g5eUFdmO3VatWejWvxOTevXt6H66mTZsiT548Zj2/NkIDFRmGQcWKFdPsP/xIxggAHj9+jCJFisDCwgKzZ882GkBpb2+vU/l9zJgxcHBwMBqoPGvWLFhYWKBIkSIpVLMzmtT9wu7zVapUiff9zgZQc3EOEouIiAidyu/s5M0cavvaaGtIent7awxT9+7dcezYMV4qKdp6i02aNEH89OlmHScz2iBlvDHau9e8F/j75yBHEVFWDbhv377ImjUrtNWAWaeC9BxAdT1ciYmJcHZ2xvDhw9OtHcD/JVyuXLnCuczcuXNBRGlm/j+aMQLUCQl79uwJIkL9+vUNzubr1auHAgUKpPk+f/78qF+/vt5ynz59Qv369UFE6NWrl0m6bOZAV7/s3r0bRIR58+Zxrufy5cvpJi2lzbBhw+Di4pJGNiu9J28ANE46TZo00ajr+/n5oW/fvrzU9devX48a1tbpMk5m5JJdxhqjjx/Ve0RiLc3p+TByuXptVM/goitPioeHB7p27ZoiT0pGDKC6Hq79+/eDiH+eFFOJi4tDeHg4IiMjOWlr3bp1CzY2NujSpUua335EY8SyceNGODg4IDg4WK/hXbNmDYgoxfLVkydPQERYu3atzjJXrlxBUFAQHBwcOCUQzAj09Uvnzp1hY2OD27dvG60jvUV3tTl79iyIKIWXZEZN3lKnSTly5Ai6du0KDw8PEPHIO/bxI5KyZEGyuQ2RkXHS3GSsMWrXzmRnBc4fhUJ9Pi1u3rypM4Pk/v37dXrZZcQAyj5cBw4c0HzXvXt3ZM2aNd1jUADusv9JSUkoVKgQgoKCdGqp/cjGCFBL+EdERMDGxkanKvL79++hUChSqMDPmzcPSqVSpxfUypUrYWNjgzx58nAa0DMKff0SGxuLoKAgFCpUyKgHKpuO5NKlS+Zsqk4YhoGvr28KFfh///03QyZv+q5lUlIS9u/fj3bt2sHFxQVERjIyZ/A4mV5knDF68EDtXsjhAh0k9V6Nrs9JPhdaJsOjI0cwYcIE5MmTB0QER0dHtGjRAn///bfRJZOMGEDZh6tnz56af2fLlk3n20Z6wSUh2ujRo6FQKPQ6BPzoxghQu9G2bt0aRGoV9dRilGXLlkWlSpU0/65YsSLKlSuX4phv375pVKJbt27NK4tvRmCoX06ePAm5XI4xY8boLZ8RiRpT07lzZ2TPnl0zWevRo0eGTN643OMJCQn4+++/0aJFCzg4OICIEBkZiQkTJqi1FHmMkyBCPBEGEMGbCNZEKESEf/gaJJksQ+KQMs4YDR7M2dqzxqgHEdak+rzhcZGTiTCO1FlRGzVqhL/++ovXMkJGDaCdO3dGjhw5NJujxpQlzE1ycjKKFSumN1X02bNnoVAoDC6L/AzGiGXZsmWwtrZG3rx5U2jNsU4Inz59wsePHzXODyx3795FZGQkrK2tzSKBYw6M9cuwYcOgVCp1vmV8/vwZOXPmTPcU9qlhlQouXboEhmGQPXv2DJm88b3H4+Li8Ndff6Fhw4aa7LXLvb15ec41IoKSCP2IsIgIRb//+yjft6MhQ8x8ddKSMcYoMTGlsgJHY7SJr4XXNXOws0OsQK2vjBpAWQmdy5cvY9SoUXB0dMzwje+7d+/Czs4uTeqKb9++ISQkBFFRUTpzL7H8TMYIAC5duoTAwEA4Ojpiy5YtANTut0RqRXhWWZkNG9i8eTMcHR0RGBiYIctVQjHWLwkJCYiKikJoaGiaN8X27dvDzs7OJHFYMUhISICjoyNGjx6NS5cuQWxpI66Yco/HxsZiw9q1+JxaTcHA5/T3cXKq1ndxRAj4bpR4jZUuLukuHZQxxujcOV4XRtsYfSZ1UKtJRkngAJhRA2h8fDwcHBwwZswY5MuXD40aNUrX8+tj4cKFICLs3LlT813Pnj1hZWVlNPbqZzNGAPDx40fUrVsXRIQ+ffogMTERkZGRaNKkCRo3boy8efMiMTERffr0ARGhbt26+PjxY0Y3mxdc+uX69euwsrJCr169NN/t2LEDRGRQMSQ9adiwIaKiojB69OgMm7yZfI/zHCf7E0FBhE+pvp/wffx8nE7jpFAyxhgtWiTIGNl//6+CCGWIcFaoMVq8WFCzM3IAbdCggSbzK5/UxeaEYRhUqVIFnp6eePPmjcbLj0tg4c9ojAD13/zbb79BqVSiePHi6NWrF5ycnODo6IjevXujWLFiUCqVmDlzZoY4mJgK136ZMWMGWK+1169fw9PTE1WrVv1h/uY//vgDRISwsDC9ienMjcn3OM9xsjwRQnV8v//7uLk9ncZJoWSMMerYMa2Yn4HPcSLUJcIyImwjwkQiuJF6g+4C3wtsYaE+vwAycgBlpVmUSuUPNdt+/vw53NzcUKNGDfj6+qJs2bKcAvt+VmPEcvz4cWTNmhXOzs5gnWmcnZ2RNWtWnDhxIqObJxiu/aJSqRAdHQ0/Pz9Uq1YNbm5unAWH04MPHz5oMrrqSkqXHph8j/McJ8OIUFbH99e/358L02mcFIqSMoIXL4iSkjgfXuz7h6UGEdUjojxENJiI9vA4NZKS6NOtW3T/wgUepdTcvHkzxX/TE19fX5LJZOTr60v37t1L9/MbYsCAATRw4ECytLSkRYsW0aVLl4yWychrKQbW1ta0cuVKGjp0KJ0+fZqIiIKDg2nChAlkZWVFFwTcXz8CfPqlb9++VLduXdq5cydNmTKFnj9/Ts+fPzd3Eznj6+tLjx49Ih8fnwzpD1Pvcf9bt8gpKYlkHI+PIyIrHd9ba/3OmaQkopcv+ZQwnXQ1fSyVKglbXkv1aUQESyLewWC7Sb+ruPSRPtJH+vwIn93Eb1wT9c2ISD1OpyMZ82Zkpct+88ePiBKJ6CsROXIsAyIqUro0nZ8xg/f5bt68Sc2aNaO1a9dSaGgo7/KmsHv3bho2bBgplUrav38/OTg4pOv59fHmzRtq2LAhRUZG0u3bt8nPz48WLFhAcrncYLmMvJZicPnyZRo0aBB9+/aNYmNjiYjIwcGBbGxsaNKkSRQZGZnBLRQG135hGIY6d+5Mjx8/ppCQELp8+TJt2LCB3N3d07G1+vny5QuVLVuWGIah8ePHU+XKldO9Dabe4/59+hAOH+b8ZuRNRM90fP/i+399+DbA2tr4MWKSrqaPhedaqL5PXVLvG6n4lPtJ94x+VAeGmJiYTOfAMGPGjBQODI6OjnByckrhwPDbb7/9MJv5fBDiwPDmzRt4enqiSpUqP8zfzDowhIeH/7wODDzHyX6k25tu/Pc3I17edBmwZ5Qxxoinl8hrHd9dIoIFEWoIMWQ/mTed5Nr9Y/Dx40dNWoC+ffvqde3u27cviH5d1+5r166lce3euXMniCTXbm3S25vu1Hejox1nFE+EQCIUTsdxUigZY4x4+s9HE6EKqdUTFhOhFxFsieBEhBsCLvI3AzI2hpCCXv/P3bt3YWtrm2mCXi9evJgm6PXBgwcgynxBr/ny5ZOCXjlgatDrnvHjeY9t9UmtuNCf1AoMxb7/+7AQY5Qp4ox4KjDMIrXGkuv3C+tNhGZEuCvgAr8jgqONDRo2bIgtW7ZIckACSE5ORtGiRQ3KASmVykwlB/Tp0yedckB58+aFtbU1li1blhFN540pckBfvnyBv7+/JAf0HSFyQFu2bEGDBg1ga2sLJRE+8hRIjSP1cp0XEayIUJAIe4QYokyjwADw0qYT7aNQ4H3nzpg4cSIiIyNBRHBwcEDz5s2xc+fOn0YoNaMeLpbMJJTaqlUrEBHat28vWCi1Xbt2IFInZZSEUs3PzyaUunPnTjRv3lwjlJo3b15MnDhRLZSaQeNk5tGmA9SqsGKlzuX6SaVGe/PmTYwaNUqTQsLFxQVt27bFvn37pBQSesiMKSRWrVqV5nehKSQiIiJ+2hQSgYGBKFy4MOcUEhcvXjRjS3Xzs6SQ2LdvH9q2batJIREaGorRo0fj1q1bKSv5AcbJ9CLjjBHww+TpYBgGly9fxpAhQxAQEAAidXK9Ll264PDhwz9Ecj3tASAjk+uFhYUhMjKS057V7du3peR6Wly5cgXBwcFwcHDAxo0bzdJ2U5GS64lH6uR6hw8fRpcuXeDu7g4iQkBAAIYMGYIrV64Ynli2a6dOEJrB46S5yVhj9OmTOrOgmS90MhG+OTtzymDIMAzOnj2Lfv36wc/PD0TqtOO9evXCypUr030A/RHTjl+9epVzmZ8t7XiPHj1ARGjQoAE+f/6s91hT0o43aNAARISePXtmuCNKasRKO37lyhUp7bhW2nEfHx8QqdOO9+vXD+fOneO8srFp2TI8l8mkTK9mZ+/edLH4FYjQrVs3TumyWVQqFY4fP47u3bvDy8sLRGrXyZYtW+LChQtmXya7d+8eiEhniur0frgOHToEmUyGqVOn8irHMAwqVqwIb29vvHv3TvP9j2aMHj16hMKFC8PCwgJz5swx2Lfx8fGwt7fH2LFj0/w2ZswY2NvbG7zPGIbB7NmzYWFhgSJFiuDRo0ei/A1ikLpf3r59C29vb1SqVIn3/T5lyhTIZDIcOnTIHE3Via7JG6B+2yUi3L9/36znZxgGFy5cwIABA+Dt7Q0igpubG3r06IHjx49z0m1kiY+PR9euXUFEmFi2bPq8GWWA1yFLxhsjAJg716wXmJk7FwsWLIClpSUKFiyocb/lQ3JysiauxsnJCUSE4OBgDB8+3GhMjVBmzJgBS0tLnTP09Hq4APVsPnv27ChVqpQgL6mnT5/CxcUlRfDhj2SMdu/eDVdXV2TLlk2vw4U2u3btAhHpfEO8cuUKiAi7d+82Ws+pU6fg5+cHNzc3TsenB9r9wjAMGjRoABcXFzx79ox3XcnJyShZsiSyZ8+OT+kw275//77eydvnz59haWnJKSBbCNeuXcPw4cMRFBQEIkKWLFk0MWlnzpzhXd+DBw9QsGBBWFpaYsGCBeqJgJnHSfB48zUHP4YxAv5/oUVastOssWpd4LNnzyJHjhxwcXFJEajJFfZBPXXqFPbs2YPWrVtrDFN4eDjGjh2LO3fuiHZJSpcujZiYGJ2/sQ/XzJkzRTufPlq1agUHBwc8ePBAcB3r1q0D0f8VlH8EY5ScnIxhw4ZBJpOhSpUqePv2LadyHTt2hL+/v843BYZhkDNnTnTq1IlTXW/fvkVMTAxkMhmGDx+eoS7RQMp+YZXi169fL7i++/fvw97eHq1btxaxlbr57bff9E7eAKBy5cooU6aMaOe7c+cOxo4dq1FGcXJyQuvWrbFnzx4kJiYKvsd37twJFxcX5MiRI+2+8PdxUrQlOx3jZEbx4xgjQP2K6O1tslNDMhFeKRSI27YtzSnev3+PatWqgYgwePBgo55B2ui6ueLj47F9+3Y0adIEdnZ2ICJERUVhypQpgt7AWN6+fQu5XG4wor1y5cqIjo4WfA4u/PXXXyAiUdJmN2rUCM7Oznj69GmGG6NXr16hXLlykMvlGD9+POflE5VKBW9vb/Tu3VvvMb169YKPjw+vOseNGwe5XI5y5crh1atXnMqZA7Zfdu3aBWdnZzRu3NjkOpctWwYiwtatW0VooX7KlCmjd/IGqBVDFApFiuVivjx8+BCTJ09GVFQUiAj29vZo2rQptm/fnmZplu89npSUhMGDB4OIUL16dZ1emV+/fkVrX1+8trAw3alBoVCPtxm4NKfNj2WMAODjR7U3h0zG3ygpFIBMhg/16sHdygrdunXTeQqVSoVJkyZBoVCgTJkynPOwGLu5vn79ik2bNqFevXqwtrYGEaFo0aKYOXMm72WOVatWgYjw/PlzvccsWLDA5IfLEK9evYK7uztq1qwpyv7Yu3fv4OPjg4oVK2o2dzPCGB09ehQ+Pj7w8PBI4TLPhdOnT4OIDO6DHDx4UNDyzL///gsPDw/4+Pjg6NGjvMqKBXuPFy5cGD4+PqLcWwzDoEaNGnB3dzeboX379i0UCgUWLlyo95hnz56BiLB69WpedT979gwzZ85EkSJFQESwtrZGvXr18Oeff6aJPdOGjzF68eIFSpcuDYVCgcmTJ+udyHTt2hU2Nja4c/asZpxkBI6TaNcuw5wVdPHjGSOWhw/VgVfaSg2pRQMtLMB8//9EBwf18d/fRmbPng1jSgWHDx+Gl5cXvLy8OG2y8rm5Pn/+jN9//x3Vq1eHhYUFZDIZSpcujfnz5+P169dGy9epUweFCxc2eIzQh4sL5hpAWGmjgQMHprsxYhgGU6dOhUKhQMmSJQXtgwwZMgSurq4G36iTkpLg6uqKoUOH8q7/2bNnKFmyJBQKBaZNm5ZhgZpiS+i8fPlS1IlNatjJm7E+LVSoEOrWrWu0vlevXmH+/PkoXbo0ZDIZLCwsUKNGDfz+++8GvSy14TpeHDp0CF5eXvD29sbhw4f1HscqS8yZM+f/Xz58iMfNm+NdqnEx9Tip+X8XlxTj5I/Ej2uMWBIT1RpJixerVWRr1lTn2ahZE+jYEaqFC1HW2RmD+vZNUUylUqF8+fLw9fXV+brL8uLFC0RHR0Mul2PSpEkGl1aELi19+PABK1asQKVKlaBQKKBQKFChQgUsW7ZMZ9vi4uJgZ2eHCRMmGK27YMGCnB4uvphzaaVLly6wsrJKV2P04cMH1KxZU2MI+SzPahMWFoYWLVoYPa558+YIDw8XdI6kpCQMGDAARIRatWrhw4cPguoRwubNm8G6touNmEu+qalTpw4KFSpk9Ljx48fDzs5OZ/zT+/fvsXTpUlSoUEHznFaqVAkrVqwQ1AfGxguVSoWJEydCLpcjOjoaL1++1FvX+/fv4ePjgwoVKqQZo/r37w8fd3cknzmjd5zE4sXqcTSdJX748OMbIw60adMGuXLlSvP9kydP4OzsjCZNmhgsn5SUhCFDhoCIUK1aNb3GS4x9jtevX2PhwoWIjo7WzLiqVauGNWvWaGZcrAIyFy+9cePG6X24hGLuTefY2Fhky5YNRITTp0+b5RzanD9/Hjlz5oSzszO26dhH5Mrdu3dBRNi8ebPRY//8808QkUmiodu2bYOTkxP8/f3TxWgnJiYid+7cICKDUk+mIIYzTGrYydv48eONHnvt2jUQEf7++28Aak/RNWvWoGrVqpoVjOjoaCxcuBBv3rwxqV2Gxot3795p9q6HDh1q1HGlcePGmv1WbRiGQVBQENq2bWtSW38EfgljtG3bNhARbt68meY31iNow4YNRuvR9mI5e/Zsmt/F3nR//vw5Zs+ejWLFimnWouvUqYNy5crp9dZKTeqHy1RYd9wcOXKY1R2XDSDuaMacKQzDYNGiRbCyskJUVJTJbvDTpk2DlZWVTnHY1Hz58gVWVlaYPn26See8d+8eoqKiYGVlhUWLFpl12W7UqFGQy+VmfWM1NUxAF3wmbwzDwN/fH+XKlUOdOnU0b+jFixfH7NmzDe7R8kXfeHH27Flkz54drq6unJ5bVhGe9UTV5saNGyAibN++XbR2ZxS/hDH69u0bbG1tMWnSpDS/8Y2VePjwoca/f/78+SkefnN6gD169AhTp05FgQIFQESwsLBAo0aNsHXrVqMBlAEBAWlSOQiFDVQ0tHYtBuy1VCgUOg2/qcTGxqJZs2YgInTq1EmUN8eSJUuiatWqnI+vUqUKSpUqZfJ54+Li0LFjRxARmjdvrlPrz1TOnDkDhUKB9u3bm335VGgAtT7at2+PwMBAo4HKW7duRaNGjaBUKkFEyJ8/P6ZNm2a2oOPU4wXDMJg/fz4sLS1RqFAhTt62umL0tJk4cSJsbW0NOlL8LPwSxggAatWqhaJFi+r8jW8UeXx8PLp16wZWyoOdCaeHO/KJEydApFaJjoiIABHB0dERLVu2xK5du3TmCOrTpw+8vLx4RXfr4vLly+km4cJey9DQUISEhIj6MN28eRNhYWGwtbXVqxPHlzdv3kAul2PJkiWcyyxevBhyudzk5R6WNWvWwNbWFmFhYTpXAYTy9etX5MqVCwUKFNB4C5p7WZCVltKn/ccVlUoFLy8v9E21Zwyolx137dqFli1bwtHREUSEPHnyaFTUT548adK5jaE9Xnz58gWNGzcGEaF79+6cZKAYhkGlSpXSqJdoU6RIEdSuXVvspmcIv4wxWrFiBWQymd5NQDZqXltl2Rjr16+Hvb09QkNDcf369XQxRgMHDkSWLFk0Sxg3btzAyJEjkStXLrDSIu3bt8e///6rOebw4cNgg3GFkt7iluy1/PPPP2FtbZ1CZdkU1q1bBzs7O02fiYWx+0sXL168gEwmw8qVK0Vrx/Xr1xESEgJ7e3vR0s93794d1tbWuHnzZrrFf8XFxSE8PByRkZG8JLpSc/LkSRARjhw5AkC9zLx//360b98erq6uICLkypULI0eOxI0bNwCo94jd3NyMKs+bCnstN23ahNDQUNjb2/MKIJ43bx4MqXmY4/7KSH4ZY8Rl5tqpUyfY2tryUknQnmWPHTvW7A9qSEiITscBhmFw6dIlDBo0CDlz5gQRwdPTE926dcPBgwfh6uqKwYMHCz4vK/ufXllJtQe9mTNngoiwf/9+wfVp63hpv82KhaE3b0OYY+aqPcvmq7eYmn379oGIMGvWLADpq4zBNR2JIQYNGoQsWbLg0KFD6Nq1Kzw9PUFEyJkzJwYPHqxJsJeaVq1aITQ01JTmG4W9ltbW1ggLC0ubHsIArOJ9586d9R4j9pt3RvPLGCNAvaZfrVo1vb/zycmSulzz5s018RcnTpwQo7lpuH37Nid3aoZhcPr0afTp0we+vr4gItja2sLV1RVnzpzhvcmdEQnRUsvrly1bFlmzZhXkQqtTx0tEDO1JGsNca/ra+w9C9RY/fPiArFmzoly5chmWJoVLokZdsM+Aq6srbG1tQUTImjUr+vTpw+kZYN3MxZTv0iYuLk6jTVe1alVe+3zGcoGxVK1aVZQ9yR+FX8oYTZs2DdbW1gY7kM1WqUtx2RAMw2Do0KEgIoSEhJhFoHTKlCmwsbHhlQ1UpVLh6NGjiImJ0RhLf39/DBo0SO+sUJvPnz8jZ86c6Z4qOvWg9+jRIzg6OupUXDaEMQ9IMdi+fbteb01jsN5OO3bsMEPL/u+Z5eLiwtujsmnTpnBycsLjx48136W3MUpKSjKYwl4bhmFw8eLFFKsDRIQqVarg6NGjvPZMY2NjYW1tLZoThTasB6SFhQWI+OcdGzNmDORyucE9LbG8NX8kfiljxMaBbNmyxeBxQ4cOhVKp5P3AsQ+qr6+vyTEruihevDhq1KghqGxsbCysrKzQsWNHg+vlqWnfvj3s7OxMiocRgq5Bb/Xq1Zo1dmNo63gZig0Tg7Zt2yI4OFhQWTYOpJ0ZE5Zpx6xw1VtkVd/XrFmT4vuM0Ay8e/cu7Ozs9HqE3rhxAyNGjNDsm7q6uqJ9+/bo0KGD0cmnIapXr44SJUqY0vQ0sLFhAQEBmrASPtfy3LlzUCqVGDZsmMHj2ODk9H5uzckvZYwAIHfu3GjZsqXBYxISEpAvXz7kzp2b12Y9+6AeOnQItWrVAhHhf+2ddXgUVxfGz2rclZCEQCAhSIoECASHYsEtSJDgEqS4u3vRYh/W4hTX4tLiUNzdLXh05/3+CLPdJCszs7NBMr/nydOyO3Pn7tyZe66c855+/foJjubX5fnz55DJZFi8eLHgMmrWrKl9uQx5Eo0dO1b7AG/duhVEZFSM1VLo6/QYhkGDBg3g6upqNN6D1fHiopphLikpKfDw8EDfvn0Fl9GnTx94enpadOapG81vSm/xyZMncHV1RcOGDTPMnL+WgC2bnoVV07916xbGjh1r1KM0IiICtWrVEnzNRYsWQS6Xc5LnMoU+1Qy+9/Lz588ICQlBkSJF9HrN6tKyZUvkz5/f7Hp/S/xwxmjgwIFwc3MzaSAuX74MKysro+rL6Umf62XKlClQKBQoW7as2cFyixcvhkwmM0sHbuHChXpfrvj4eG2MBbu+XqhQIdjb26NixYqZrn8GGO70Xr58CS8vL1SvXl1vvVgdL656guZy9OhRsxUJjhw5AiLCsWPHRKyZfg4cOAAvLy+D94dhGFSvXh3e3t56U2Z8LWPEMAwqVKgAe3t7/PTTTyAi2NnZoWnTpti0aVOGQSM7eFu0aJHgaz579gwymcxseSJdPcGpU6dqn1u+97Jnz56wsrIy6QXKah8OGjTIrHp/a/xwxuj48ePa2Ysppk2bBiLirNys7+FiFaC9vLx4K0DrUqtWLURERAg+H+D2cn38+BGrV6/WpkEmIpQqVQozZ87krF4uBsZeVDaiXleBmc/IX0z69u0LDw8Ps2Y17OyqX79+ItbMME+ePDE4c5w3bx6IUlNE6COzjVF6FRIigo+PD9asWWN071SMwRsAlCpVSvDSOGBcaZ3Pvdy3bx+IiFPyP1YVPjOktDKTH84Ycck3o3ts+fLl4efnh7dv35o83tDDJTQ3Dgu7mTpp0iRe5+mjVKlSqFOnjtFjWIXj5cuXW0yXyxSmXtQOHTrA1tYWN2/eTLMnMmjQIFGWRbkSFBQkiu6XIf1ES6FvT+3GjRuwtbU1KsGUGcbo5cuX+O2331C+fPkM+oy6z6YxateubfbgDQAmTpzI22kISJuDqnLlynqNItd7GRcXBz8/P1SoUIFT38E3X9b3wg9njADjmTjTc+/ePTg6OnJSYjb2cKWkpGDo0KG8s4YC/7mZXr9+nfM5hjD1crFeay1atEjz+evXr7WKxXK53GzFYlOYelE/fPiAwMBAFCxYEP7+/oKz85rD1atXRdP9YvUT+cSaiIGut2GBAgUQGBho1GvNUsYoLi4O//vf/zgp10dHR8PR0dGgTM+nT59gY2MjyuDt2rVrnMIpdNHNzjts2DCDs2au97JFixZGf68ufDMJf0/8kMaIVVu4ePEip+NZ0U5TasxcHq6dO3fCzc0N/v7+nKfRYgbgsS+XPk8/jUaDChUqmJwJps/lolartblcxAomNXUvGYZB7969td6L5mTNFcqECRNEixFiO9CJEyeKUDN+3L17VxuP1qdPH6ODNDGNkW5OL7VanSanl7HlNTb+ydBMYdOmTaIN3gDDgeb6OH78OPz9/eHm5oZdu3YZPZbLvWTV3ZctW8bp+hcuXDCqyvA980Mao4SEBNjb22PMmDGcjmcYBvXq1YObm5vRvQiuL+qDBw8QHh4OlUqFWbNmGX35U1JS4O7uLqo0SXBwMNq0aZPhc3aPbN++fZzLMpTlct26dWZ10sbupa7CQNGiRaFSqXDu3DnB1xJKyZIlUbduXdHKq1OnDkqVKiVaeVw5e/YsFAoFihYtalKhwlxjJFa247179xrcQ4mJiUHevHkF1U8f/fv3N7kvyDAMZs6cCZVKhZIlS6aJzTKEqXv55MkTuLm5oX79+pydiEaPHg0HBwezVDe+VX5IYwQADRs2RLFixTgf/+LFC3h5eSEyMtLgg8HnRU1MTETPnj1BlJqozFB2yMOHD4su2tivX78MLxfrPdizZ0/B5d69excTJ05EkSJFQESwt7dHs2bNsGXLFt4vh6F7efny5TQ6XomJifjpp5+QP3/+TNHMY2GdQZYsWSJamf/73/9469uZS3x8PPLly4dChQohMTHRpHafEGOUkJCAzZs3o1mzZrCzswMRoUiRIpg0aZJZM9oePXpk8C5jB2/9+/cXXG56WHFiQ6ne3717h0aNGoGI0LNnT04ip4Dxe8kwDGrUqAEvLy9e+7NhYWFo1KgR5+O/J35YY7RixQoQmU5DrAsbd2NI307Ii7pu3To4ODggODhY77Jh7969RVHc1uXYsWNpXq7ExEQUKVIEISEhosnS3LhxA6NHj0aBAgVARHByckJMTAx27dplMkYC0H8vDalSX7x4EWq1Wq8ys6Vg3eTFdOR48eIF5HK5We7IfOnVqxfUanWaZ+/KlSvIly+fXlVzrs94UlISdu3ahdatW8PJyQlEhAIFCmD06NGiSex8/vwZefPmRdGiRbXPFDt4E1OSS6PRwMvLS69a/YULFxAUFAQHBwesX7+eV7nG7uWCBQvSxFVx4dGjRyAi0ZTovzV+WGP0+vVrKBQKzJs3j9d57dq1g729PW7fvp3hO6FLGNevX0doaChsbGzSrA0zDIPcuXOjffv2vMozRUpKCjw9PbUv15AhQ6BUKnnLknDl0qVLGDp0KPLkyQMigru7Ozp27Ij9+/dz2tzlkq9n8uTJkMlkmRJbBKTqfpUpU0b0ckuXLm1UP1FMDhw4AJlMhilTpmT4zlC+J1NOOvv370fHjh3h5uYGIkKePHkwdOhQXLp0ySK/4dSpU1AqlRg6dCiA1MGbl5eX6J5k7dq1Q548edKsiixduhQ2NjYIDQ0VZGAN3ctbt27Bzs6O93s/d+5cKBQKi6qNfE1+WGMEABUqVEC1atV4ncNqtUVERGToSM1ZT//06RNiYmJAlJqrKD4+HpcvX+Y9OuJK27ZtkSdPHvz999+Qy+UYNWqU6NdID8MwOHv2LPr164ccOXKAiODt7Y1u3brh2LFjaToQ9l5u3rxZm8l0wYIFBpdIU1JSULZsWeTIkcOiGWiB/3S/9HXi5jJ58mSzJGy48vbtW/j7+6NcuXIGO242E65ardZmwk3/jGs0Ghw9ehTdunWDt7c3iAg5cuRA//79cfbs2UwJmB45ciQUCgX++ecf5M6d2yLSSuyqyJUrV/D582dtzqM2bdoIXk3Q11+kpKQgIiKCkxZfeqpWrYqKFSsKqsv3wA9tjGbMmAGVSsW782JVrNOrNIvhabR48WJYW1ujUKFC6NWrF+zs7CyyF8K+XP7+/rxVysWAYRj8888/2pgIIoKfnx/69OmDU6dO4fTp09p9p5w5c3K6p3fv3oWDgwNat25t0bqzul83b94UvewbN25w0k80l1atWsHBwYHTns2ZM2eQM2dOODs7a51cVqxYgd69e8PPz08biNqzZ08cP3480xU7WBVrdoBjicEbq8zeu3dvFCpUCNbW1mYrM+jrL9jAbb6KHm/fvoVKpdKm+vgR+aGN0d27d0FEWLNmDe9z9eX3Ecvt9fz588idOzcUCgXCw8PNKssQnz9/hlKphFKpFM0FVigajQaHDh1Cly5d4OHhASKCg4MDiAhhYWG8lh3+97//gYiwceNGi9XX0rpfXPQTzeHPP/8EEfFyvnj9+jUqVKigVUEgInh4eKBLly44dOjQVw+wvH79OlQqFZRKpcUcWUqUKAGFQoHcuXOLktcrfX9hTv6m1atXg4i+SohDZvFDGyMA+Omnn9CsWTPe57GZTwsWLKj1FBMzBoMNqCQi9O7dm9OmPx927twJotQkY98S9+/f1zo9sH8hISEYMWIEp4BQhmFQp04duLu7W8QrLTN0v7jqJwrh6dOncHd3R926dTnNYK5evYoRI0YgJCQERAQrKysQEXLnzs3JfTkzYWdGpuJ7+JKUlIRevXppn0exApPT74sWKFAAoaGhgtyymzZtikKFColSr2+VH94YDRs2DM7OzoI6+3///RdqtVqr2CymMfrtt98gl8sxZswYKJVKRERE4NGjR2aXC6RGiGfLlg0FChSATCbLVM05Y+jqeC1atAhEhBkzZqBFixbamdJPP/2E8ePHG80X9fz5c3h6eqJWrVqiLxkdPHjQ4rpfrH7ioUOHRC2XYRjUrFkTnp6eRpWo79y5g/Hjx2sFSR0cHNCiRQts27ZNWzd3d3ez9RbF5MmTJ1qPvWzZsuH169eilPvw4UNERERAqVRq5X3EUrHX7S/69OkDtVqNCxcu8C4nKSkJTk5OGD58uCj1+lb54Y0R+0AITWk9ceJEyGQyHDp0SFRjVL16dZQvXx5Aqiu2r68vPDw88Ndff5lVLsMwaNy4MVxcXHDx4kXI5XIsWLDA7Pqag66OV6VKlfD8+fMM9zI+Ph5//vknGjduDBsbGxARihcvjqlTp+Lhw4cZymTldcxJuaGPX375BdmyZbPoshSrn9irVy9Ry2UNvD75oocPH2Lq1KkoVqwYiFIzA0dFReHPP/9Ms+zFtsuePXtQsWJFwXqLYjN//nwoFApcvHgRLi4uiIqKMrvMPXv2wN3dHb6+vlpX8XLlyqFGjRpmlw38dy8XLFgAmUwmWL6ITQ1/9uxZUer1rfLDGyOGYeDn54du3boJOj8lJQVlypRBQEAADh06JIoxev/+PdRqdZro8pcvX6JKlSqQyWQYOXKk4JefTei1evVqAEDZsmURGRlpVn3NQVfHa+jQoVoPRVMKDKtWrULdunWhVqtBRChdujRmz56dZmmuTZs2sLe3Fy3rLsMwyJUrl1EhUbHo0KEDAgMDRZvZ3b59G/b29mlEXZ8+fYpZs2ahdOnS2iW4unXrYvXq1Qa9+XTbhdVbJCLeeotiU6NGDZQrVw4AsGrVKhARVq5cKaislJQUjBgxAjKZDFWrVk0TSzZt2jRYWVmJInvF3ktvb2+UKVNGsPJ7bGws/P39v0qql8zkhzdGANC1a1ezGvPOnTuwt7dHnTp1RDFG69atAxFl6ERTUlIwcuRIvS8JFx4+fAhnZ2c0adJE+9nUqVNFe7n4oqvjlV5Li+ss8+3bt1i2bBlq1KgBpVKpnV0tWLAAd+/eRUBAgFkvui4XL14EkeH0CmKyfft2EJEo8TkpKSkoXbo0AgICcPfuXSxYsEA7q1EqlahRowaWLVsmWJl+x44dcHV15aW3KCbs4G3atGnaz6KiouDs7Mx7afvFixfaQd+oUaMyDPpu374NIuId4KoP9l7a2NgIHjCxg+nY2Fiz6/OtkyWM0Z49e0BEZumbsUsgYhij6OhoFCxY0OD3+pYPTKHRaPDzzz/Dx8cnzXr6rVu3RHu5uKKr4xUeHq53I1zIkuerV6+wcOFCbboOpVKJEiVKgIgwcuRIs+s9evRo2NvbZ4ruV3x8POzs7DjrJxqDHcCUKFFCa7ArV66MhQsX8p7NGGqX+/fvo0SJEpz0FsWGHbzpBqK/fv0aPj4+qFKlCue6HDt2DNmzZze5HF6gQIEMqvZCmDp1KogIw4YNE1zG2bNnQURmL99/D2QJY5SYmAhHR0eMGDFCcBkMw6Bs2bJm7T8BqZuRLi4uJnPcP3z4EKVKlYJSqcSMGTNMvnCzZs0CEWH37t0ZvsufP78oLxcXdHW8evToYVDHy9z9t2fPnmH27NkoU6aMdpBQoUIFrFq1SnBAaVhYGBo2bCjoXCE0aNCAl36iLh8+fMDKlStRvnx57e8vU6YM5syZY5aXobF2SUxMRPfu3U3qLYpNdHQ0ChQokOHzXbt2gYgwe/Zso+czDIPp06dzdhQaPHgwXF1dzfJ2fP78OZydnUFEZimfDB8+HE5OTqJ7236LZAljBABNmjQx2zWSnWGVL19e8Mhw//79ICKcOnXK5LFJSUnaNAoNGjQwGLx77do12NjYoGvXrnq/F+Pl4oKujtfatWuNHiumM8jNmzfh7e2tdXywsbFB48aNsWHDBs7R86zu14oVK8yuD1eWL1/OSz/x8+fP2LBhAxo1apTmt2bLlg23bt0SpU5c2mXt2rWwt7c3qLcoJqYGb126dIGNjY1Bd+y3b9+iQYMGvEIoTp48CSLCgQMHBNWZDT9gjZE5z/hPP/2Epk2bCj7/eyLLGCN209OcoDH2ReUbUKhL9+7dkT17dl7GbMOGDXB0dESePHnw77//pvkuKSkJxYoVQ1BQkMGEeua+XFxgdbwKFizIKchW7CRu58+fh0qlQseOHTF+/HgUKlRI67YcHR2NrVu3GlVb/hq6X1z0ExMTE7F161ZER0fD3t4eRIRChQphwoQJ6NChQ4bAbHPh2i7Xr19HwYIFM+gtio2pwdvHjx+RJ08eFC9ePMNgiw0ud3R05KV4odFo4OPjgx49egiqMxuYzS7TCX3G2aB91hnpRyfLGCNWTmPmzJmCy2Bf1Jo1a8LBwQF3797ldT7DMMiRIwc6d+7M+9o3b97UK1MyYsQIKBQKoxvL7MtlTvoIQ+jqeMXExHBO32yJjKLjx4+HTCbTqpVfu3YNI0eO1AZ0uri4oE2bNtizZ0+Gjutr6X7p009MTk7Gnj170KZNG+3oOiQkBCNHjtTOAA4fPqxXsspc+LTLp0+f0Lp1axD9p7coNj169DA5eDt+/DgUCkWafUNd2S0hs8ZOnTohICCA9wqIrmSVuc/4r7/+KkjO7HslyxgjAKhSpQoqVaok+Hz24Tp48KBJEUp9nD9/3qwI8vQd/+HDh6FQKDhtkHbq1Ak5c+YUdeP51q1bWgPJN97HEsaIFaHMmTNnmv0MhmFw4cIFDB48GIGBgVqpm86dO+PgwYOIi4v7arpfM2bMgFqtRlxcHA4ePIjOnTtrJZMCAwMxePBgXLhwIU27sWK+pUuXFsWLUBch7WJux28IhmEQEBDAafA2dOhQKBQKHDlyJI2BFCpyyiqYpF+JMEZ6MV9zn/GKFSuiatWqgs79HslSxmjOnDlQKpWIi4sTdL7uw2VMnt8QI0eOhKOjI+fkXIZgl8SsrKxQoEABTuvg7MslJAJcH3/++SccHR0F63hZwhgBpuX5GYbB6dOn0adPH/j7+2tnTESp4qWZ6SXGMIxWlJWdAfn7+6Nv3744ffq0wboYS3NiLkLb5dy5cwgMDISTk5NouoH//vsv58FbUlIS8ufPDysrK1hbW5u9dJiQkAAHBwdeavfp05yY84y/efMGCoUCc+fO5X3u90qWMkYPHz4EEeGPP/4QdH76h0tf4jJjFClSRJTIcSBVq0omk8HOzg7r1q0zeTz7co0ePdqs6+rqeDVo0IBT7Io+LGWMgP8Sl23dutXocRqNBseOHUNQUBCUSiWIUtMj9OvXD2fOnLGIYWIYBmfOnEHfvn21WmtKpRLBwcH4+++/Tc60t2zZAiLDCSDNxZx2efv2LerXr8/LWcAYo0aN4pxie+3atbC1tYVMJkPz5s3Nui5L48aNUbRoUU7HXrhwIUMCSHPu5e+//w4iEk0i7HsgSxkjAChatCgaN24s6Fx9Ejb58+fXpnQ2xoMHD8yKGteFlQeZMGECGjdubNKNmqVRo0acXy596Op4TZ8+3azO2pLGiGEYREZGwsvLy6hGG5BqXJ2dnTFkyBAcOHAAHTt2hLu7O4hSE8cNGTJElMDUixcvYsiQIcidO7dW+61Tp044cOAABg8ezEk/8cWLF/D09ETNmjUtNoMzt10YhsG0adNE0VssUqSIyXc1MTERPXr0ABEhKioK48ePNzv8goVVM9EnR5W+Dj/99BMKFCigV1pJyL1s1KgRwsLCeJ/3PZPljBGf0VZ69D1cZ8+ehUqlMqnyPHv2bLOWCFni4uLg6+uLSpUqQaPRgGEYzJo1y2iAKQs72jL1culDNxD32LFj5vwEAJY1RkCqFI6bmxvq169vtOPeu3dvhnokJSVh9+7diImJ0S6f5c+fH6NGjeKVjuP69esYNWoU8ufPr12Ki4mJwe7du9M4ULC5nfbt22ewLIZhUK9ePbi5uVlU+FasduEaYGoIdvBmbBXj/v37CA8Ph0qlwuzZs8EwDDQaDSpWrAhfX19R3jWlUok5c+YYPW7gwIFQqVQZguqF3suEhATY29ubvYrxvZHljBGfdej0GHq4xo4dC7lcbrST/vnnn1G5cmXe10xP8+bN4eTklMHo6ErvGPpt7Dq0qZdLF10drypVqpicaXDF0sYIANavXw8iMrp/EBsbCz8/P4MGKyEhAVu2bEHz5s21rtWFCxfGxIkT9XpT3r17FxMmTEDhwoVBlJo8sHnz5kZdyxmGga+vr1H9xKVLl4KIsGHDBuM/2kzEbJcXL17g559/FqS3aGrwtnPnTri5uemVKLp//z4cHR0RHR1tTvUBAJUqVUKVKlUMfn/s2DHI5XKMGzcuw3dC76XY+7vfC1nOGPHx0EmPoYcrOTkZJUuWRGBgoF4NOHaENWvWLMH1BlLXxY0FZuqKkg4bNkyvp5Wpl0sXXR2vESNGiOq5lRnGCABatGgBR0dH3L9/P8N3rO6XoWDh9Hz+/Bnr169Hw4YNYW1tDSJCeHg4RowYgeHDh2uliWxsbNCoUSOsX7+eszdXly5dDOon3rt3Dw4ODmjZsiWnssxB7HYxJkpqDEODN1a8VSaTGRVvZQOKueynGoOVtdK3N/rhwwfkypULpUqV0vtuCL2XlvB8/R7IcsYISI1d8PHx4a2MbezhunnzJmxtbfUqPq9cuRJEpLdD5MqTJ0/g6uqKhg0bGn1IddM1VK5cGc+fP0/zvbGXSxd2mcXd3R179uwRXG9DZJYxevv2Lfz8/FChQoUM7c3qfgn5fbdv30br1q3h5uamDYR2c3NDTEyMIFHM3bt3gyijfqJGo0H58uXh7+8v2FmED5Zql927d3PWW2RjAtMP3p4/f67VJTSV1oJhGDRo0ACurq548uSJ4Hrfu3cPRIRVq1Zl+K5Dhw6ws7Mz6M4u5F6y6UUsERP4rZMljREb1X3y5Ele55l6uObNmwciwvbt29N8HhUVhcKFCwuuL8MwqF69Ory9vTkLX+omsjt69Kj2c/blMhTVravjVapUKUH7S1zILGMEpN4LIkqj+gz8p/vF1dX+9evXWLhwISpXrgy5XA6FQoFq1aphzpw5mDNnDqpVqwaFQqEdCCxatIhzEjhD+olsFH9mJbmzZLtw1Vtk1VJ0B29HjhyBj48PPD09Od+Lly9fwsvLC9WrVzdrllGoUKE0SvgAsG3bNhARfvvtN4PnCbmXJ06csLhayrdKljRGycnJcHFxweDBg3mdZ+rh0jUa7HKEGCKtrJHjm9rg8ePHKFOmDBQKBaZMmaJ9IQsVKqRX70qIjpdQMtMYAUDPnj1hZWWVxjPO0H3Q5d27d1i+fLk2hYVMJkPFihUxf/58vUtOL1++xPz581GhQgXIZDKoVCpERkZi+fLlJiPpmzRpkmbQcunSJVhZWeGXX37h+WuFY+l2SR8aoO+e6N4HhmEwefJkKBQKlClThrOOHwsXo2GK4cOHp4kPZI1cjRo1jBo5Ifdy0KBBmaIj+S2SJY0RkLqXoE8J2BhcHq70y2ns8otQ/bAbN24YXP7jQnJyMvr16wciQt26dREXF6dXCVhXx8vSm+RA5hujz58/IyQkBIULF0ZiYqLRGeLHjx+xevVq1KtXD1ZWViAiREREYNasWbw82Z48eYKZM2ciIiICRKnJ7erVq4c1a9boVRbXnREkJiaicOHCyJcvn0VkdgyRWe1iSG9Rd/AWFxeHunXrgojQv39/wR10hw4dYGtri5s3bwo6/9y5c9rlXHb5z83NzeTyn5B7mT9//kzZG/wWybLGiPW04hPFzvXh0nU06NKlC3LkyCFomSA5ORnh4eEGHSP4sHnzZjg7OyNXrlzaPSzW5VZXzkXoC8uXzDZG7DWVSiWGDBmi3TtjR+bx8fHYuHEjoqKiYGtrCyJCsWLFMGXKFKPu8lx58OABpkyZkiHt98aNG7XGRnevZPDgwVAqlZmeajoz2+XmzZv46aef0ugtssr4K1euRK5cueDs7Kw3jTofWEeDkiVLCjJorKZk165deTlG8L2XbO6xzBgMfotkWWP04cMHWFlZZdhHMAafh4t1wfb29kb37t0F1ZF1RBAjrgdIzVhbpEgRWFlZwdXVFR07dtTqeLVr106wjpcQvoYxAlIT6MnlcoSFhaFy5crYvn07WrZsCUdHRxARQkNDMW7cOFE11tJz69YtjBs3DqGhoSAiODo6omXLlti+fTsqVaqEYsWKQS6Xi5J4jy9fY8batm1bEKXqLbZv3x5ubm5Qq9UoWrSoaCnljx49qnV8EEK3bt3g4+OjVYHnAt97+TWzMn8LZFljBAA1atRAuXLlOB/P5+GKi4uDl5dXmhkIH86ePQulUomBAwfyPtcY8fHx6NSpE4gIMpkMVlZWWLp0qajX4MLXMkbx8fHIkyeP1gWbiJA3b14MHz4cV65cydS6AMCVK1cwfPhwBAcHa2dMRISgoKBMXZ5j+VrtsmTJEtjY2EAmk4GI0LlzZ9F//4ABAwTPNtkZm6enJ+dgWr73smzZsoiMjORdtx8FOWVh6tSpQ0eOHKHXr1+LXrazszP9/PPPRER08eJFXucmJCRQdHQ0FShQgEaMGCFqvaytralixYqkUqkIAHl4eFB4eLio1/jWYBiGjhw5Ql27dqUcOXLQzZs3iYgoMDCQzp8/T1euXKERI0ZQSEhIptctJCSERowYQVevXqXz589Tzpw5iYjoxo0blCNHDoqNjaUjR44QwzCZXrfMJDw8nNzc3AgAqdVqqlixIllbW4t6jZEjR1L+/PmpRYsWlJCQwOtc9h2uWrUqOTs7i1ovIqJXr17R0aNHqU6dOqKX/b2QpY1RrVq1iGEY2r59u0XKv3DhAgUHB9OgQYPo6tWrnM8bPHgw3bp1i1asWEFqtVq0+iQlJVHPnj2pcePGVKdOHbK3t6eEhAQKCwujNWvWiHadbwEAdOLECerVqxf5+/tT2bJlacuWLdSiRQuqVKkS+fn50aVLl+jp06ckk8m+dnVJJpPRkydP6PLly+Tr60uVK1em6Oho2rx5M5UtW5b8/f2pV69edPLkSQLwtasrKqtXr6ZixYpRQkICOTg4UK1atahRo0bUs2dPSkpKEu06arWafv/9d7p58yYNGTKE83lXr16lwYMHU3BwMF24cEG0+uiyfft2AkC1atWySPnfBV91XvYNUKJECdSrV4/TsXym3Xfu3AER4ffff0fevHlRtGhRTq7SQlJTcEFXx2vmzJlgGAbNmjVDgQIF0LRpUxARYmNjBWn2CcESy0EMw+Ds2bPo378/AgICQETw8vJCbGwsjh49Co1Go9X9GjlyJKpWrYps2bJxjt2yJK9evYK3tzeqVauGESNGaPUTNRoNjhw5gtjYWO2yb86cOdG/f3+cO3dO9Cj9zFymS0hIQGxsLIhI+yw2b94cDMNoE8uZ0lsUQvpUD8ZISkpC0aJFkTdvXqxYsQJExHkfi8+9rFu3LsLDwzmV+6OS5Y3RuHHjYGtry2nzns/DNX36dKjVarx//x4nT57klATv7du3gpL2mUJXx+v48ePaz9esWaN9uebOnQu1Wo3ixYublZqdK2J2epcvX8bQoUMRFBSkVULo0KED9u3bl0GmRVf36/Hjx3BxcUHjxo2/qvQKwzBo1KgRXF1d8fjxY4P6iSkpKdi3bx86dOgAV1dX7d7SsGHDcPnyZVHqklnG6N69eyhWrBjUajXmzZuH27dvg4iwdu1a7THHjx+Hn5+fUb1FIaRPgmeMoUOHQqlU4tSpU3j37h1UKhVmzJjB6Tpc7+Xnz59ha2uL8ePHc/4NPyJZ3hhduXIFRKZz3wD8XtTy5cunSSfNJT14q1at4ODgIJox0NXxql69eoYZAPtysRlOT506hRw5csDV1TWDioTYmNvp3bx5E2PGjEGBAgW0HmmtW7fGzp07jc5A0+t+rV692qQ6tKVh1dTXrFkDgJt+YlJSEnbu3IlWrVppPQELFiyIMWPGmOWenxnGaNu2bXBxcUFAQABOnToF4L+Mt7oZeoHUGWO1atWM6i0KQTc9uCH0pTOvWrUqKlSowOkaXO8lm6Pq6tWr3Cr/g5LljRHDMMiTJw/atWtn8liuD9fr16+hUCjSRH0nJSWhWLFiCAoKwqdPnzKc8+eff4KIsGTJEt6/QR+6Ol5jxowxONOqWrUqKlasmKbuNWvWBBFh0KBBFosEF9Lp3bt3D5MmTULRokVBRLCzs0PTpk2xefNmTsuLGo0GPj4+GXS/mjZtCmdnZ4tJHxnjwYMHcHJyQrNmzdJ83qNHD2TPnp3TjC0+Ph6bNm1C06ZNYWdnByJC0aJFMWnSJN4DG0sao+TkZAwcOBBEhFq1auHNmzfa7ypUqJBm8KaLKb1Fofzvf/8DEenNTPvx40fkyZMHxYsXT/MOzJs3DwqFgpPME9d72bZtWwQFBfGu/49GljdGANCnTx94eXmZXBrj+nCxgXHppUuuXbsGGxubDCrRT58+hbu7O+rWrSvKcpGujpexHDkAMHfuXCgUijQdg0ajwYQJEyCXy1GhQgWL5M/hei+fPHmCX3/9FSVLlgQRwdraGg0aNMDatWv1GnVjnDx5Uq/u15s3b5A9e3ZUrlxZ1OVRU2g0GlSqVAnZs2dPc/+B//QT2ZkDVz59+oS1a9eifv36WmXxkiVL4tdff+UkGGopY/T06VOUL18eCoUCEydOTHOf2cHbvHnzjJaxd+9evXqLQmEYBnXq1IG7uzuePXuW5rsuXbrAxsYmQ/6qx48fawPaTcHlXqakpMDT0xN9+/YV9iN+ICRjhNTOm4hMqglzfVEbNGiA4sWL6/1u1qxZICLs3r0bQOoLUbNmTXh6epqdK0iIjtejR4+0jhbpOXjwILy9veHt7Y1Dhw6ZVbf0GLuXL168wLx581CuXDmtvlvNmjXx+++/Z1jG4cPgwYMN6n6xcSTmpvngw8yZM7UyM+lh9ROHDBkiuPz379/j999/R82aNaFSqSCTyVC+fHnMmzfP4LNmCWNk6jliHQO4PK+PHz9G6dKlM+gtCuX58+fw8PBArVq1tGXt2rULRITZs2frPadYsWJo2LChybK53Mtjx46BiEQxrt87kjFC6ujEw8MD/fv3N3ocl4crPj4ednZ2BiO9NRoNfv75Z+1oeNGiRSAibN682azfoKvj1a9fP17La2FhYQZfLmMjWnNIfy/fvHmDxYsXo0qVKlAoFFAoFKhSpQoWL16cYdYglAIFCqBFixYGv+/atStsbGxw7do1Ua5njKtXr8La2hqxsbEGj4mOjkbBggVFuZ6h+/u///0vzf0V0xhxnWE3aNAAxYoV41xuUlIS+vbtm0Zv0Rw2bdoEIsLixYvx+vVr+Pj4oEqVKgYN3ZgxY2Bvb29yaZjLvezXrx88PDxEzRX2vSIZoy/ExMQgb968Ro/h8nBt374dRJRGHTo9jx49grOzM2rVqgV7e3u0adNGcL3ZeuXKlQtOTk6CjNro0aONvlzJyckYNGiQ3rV+obD3cvTo0bxG7kJhdb/Wr19v8JhPnz4hKCgIxYoVs6hieVJSEsLCwhAcHGx0qXHdunW89RO5oG/mWatWLfz+++84fPiwKMbozZs3nPYe2cGbEOmjTZs2wcnJCbly5TJbwy8mJgb29vaoWbMmXFxc8OjRI4PHXrx4EUSmVfS59BfBwcFmv/8/CpIx+gI7OjI2KubycHXo0AGBgYEmlw9YDyoPDw+T7qWGYBgG8+fPh5WVFYoUKSK407pw4QKnl0vXC+r06dOCrsXuaVSsWBFElGZPg296AD5w1f06ceIEFAqFWSk/TDF8+HAoFAqT+bTev38PtVrNSz+RL48fP06zJ8eqlE+YMIH3nhzLqVOnEBAQABcXF2zbts3osezg7eLFi4Kudfv2bRQuXBhWVlZYsGCB4GW7d+/ewcPDg5NnJcMwyJUrl0klfVP9xdWrV0VZFflRkIzRFz59+gQbGxtMnDjR4DGmHi6NRgNvb2/06tXL5PUmTpwIIoKDg4PRUZghPn78iBYtWoCI0LFjR7N0vLi+XECqS6xufAiXlz8hISGDt1dISAiIyGRnJRZly5ZFjRo1OB07bNgwTsZCCKyxGz58OKfjq1evzks/0Rzu3buHHj16aAcJfL0VGYbRxqsVK1aMkycf18GbMeLj49GxY0cQEVq2bKk3PYcpHj16BHt7exARJk2aZPL4X375BdmyZTO6bG2qv5gwYQJsbGwEG/0fDckY6VC7dm2UKlXK4PemHq5//vkHRGRys//ff/+FWq1GbGwssmXLhqpVq/J6Ga9evYr8+fPD1tZWr+OBELi8XCwJCQno2rUriAjNmzfXO9vQjYNxcnLKEAeTmZH+L1++hFwux4IFCzgdz3UZjS/sMmBYWBjnZcD58+dDLpdnmkoE2y4bN25ME8fl5ORkNI7rw4cPaNasGS8lDz6DNy6sWLECtra2yJ8/P699P4ZhUKVKFfj4+CA2NhZqtTpNjiV9HDx4EESUJog8Paae8ZIlS6JOnTqc6/mjIxkjHRYvXgyZTJbBzZPF1MM1YMAAuLm5GXUeSEhIQMGCBVGwYEEkJCRoFQHmzJnDqY6rVq2Cvb098ubNK1rUPfDfy2UsKFdfXezs7BASEoLLly+nUQhwc3MzqhCQmcZo6dKlkMlkvFzUWQeDbt26iVaP2NhYWFtb8wpufPLkCYgIy5YtE60extDXLpcuXTKqcHH58mWEhITA3t7eYDp7fRw/fpzT4I0Ply5dQt68eXnVZfbs2VrFi/j4eBQoUAChoaFGDWpycjJcXV2Nquobe8afPXsGmUymzeMkIRmjNLx48QJyuRyLFi3S+72pDjQkJAStWrUyeo1+/fpBpVKlyfzauXNnvTENuujqeDVt2lT0nCfsyzVo0CBe5126dAkBAQFQKpVaJYCAgACT2mmZaYzq1asnSPfr119/Neh6zRfWdXzmzJm8zy1RogTq169vdh24YKxddLX/cuTIoZ0xKZVK5MyZk/fgaODAgSYHb0L48OEDmjRpwmmWxsb+denSRfvZ+fPnoVKpTHrXtmzZEvny5TP4vbF7uXDhQsjlctEddb5nJGOUjtKlS6NWrVp6vzP2cN24ccNgNDfL4cOHIZPJMGHChDSfG4r2ZtHV8Zo7d67FdNRatmyJ/PnzmzyOYRicPHkSvXr1gq+vL4j+yw1Uv359TvtXmWWMzNH9MhaUygdzg2rHjRsHOzu7TMlvxEdPrV69emna3tfXF71798bJkyc5PaP58uUzOXgTCsMwmDNnDlQqlUG9xeTkZBQvXhx58uTJsM80fvx4yGQyHDlyxOA1WNUUQ/JLxu5lzZo1UaZMGZ6/6sdGMkbpmDx5MqytrfVughp7uIydB6R6RuXMmRMRERF6Ywr++ecfyOVyjB49Os3nrAdbjhw5eEfj82XDhg0GXy6GYXD+/HkMHDgQuXLlAlFqorEuXbrg8OHDSElJwYIFC2BlZcUpQ2dmGaOtW7eCiAQnzmPlepo3by64Ds2aNTNLbujy5cuZ5uzBpV10MwYvWLAAKSkpOHToELp06QJPT08QEXLlyoWBAwfi/Pnzeg0TO3j7888/LflzcPLkSYN6i6NGjYJCodC775OSkoJSpUohZ86cBgOtP378CGtra4MK+4bupanzsiqSMUqHsRmOsRfV2IwKSNWfsrOzM5rOesiQIVAqlTh9+nQaHa+aNWty0sIyFzYVu+5LwmYizZs3L4gILi4uaNeuHfbu3at3FnfmzBnkzJkTzs7O2LJli8FrZZYxateuHfLkyWPWbJJ1w9dVlOYKq4xujhArwzDInTs32rdvL7gMrphql82bN8PZ2dlgbE9ycjL++usvtGvXDi4uLiD6L5Ou7l6ZqcGbmLx+/RqRkZFpYp5Onz4NpVKJoUOHGjzv1q1bsLOzM6pbaWyGY+hemppRZVUkY6SHkJAQvWq+hh4uU3tNrCqvKW+upKQkFClSBHny5EGZMmUgl8sxfvz4TNVLi4yMRLFixTBu3DiEhoZq3c9btmyJ7du3IzEx0WQZcXFxqFOnDogI/fv3N2i0LG2MWN2vPn36mFUOwzBo2LAhXF1dOem7sbApKho1amT20mrv3r056Seai6F2SU5ORr9+/XipHiQmJmL79u1o0aIFHBwcQEQIDQ3FuHHjEBYWhpo1a1roV2REo9Fg/PjxkMvlKFeuHHLnzs0px9j8+fNBZFjVn937efnyZYbvDN3LVq1aGd1ryqpIxkgPAwYMgLu7e4blNEMP1//+9z+DXngvXryAp6cnatasyalDWrp0KYgItra2GQQ9LcmDBw8wZcoU7ca0jY0NoqKisHHjRkF7Fbo6eWXLls3QiWeGMWJ1v4yt+3OFTX5XvXp1Tu3IMIyoyftYZQRT+onmoq9dnjx5grJly5qlBxcfH48///wTUVFRsLW11Tq6TJkyRfTkecY4cOCA9vrLly83eTzDMIiMjISXl5deZwPWK06f2r6+e5mcnAw3NzejXnhZFckY6YGNFzp8+HCazw11oHXq1NEbn8QwDOrVqwc3NzeTbsW6Ol6BgYEgIpOK2+by9OlTzJw5ExEREdro++rVq0Mmk6VJf2EOhw8fRrZs2eDl5YX9+/drP88MYyS27teOHTtARCbVpYFUNXQuqhZcSUlJgbu7u0kPL3NJ3y779++Hl5cXfHx8RDHqQGoaBiJCjRo1tIoPERERmDVrlkUU4nXZu3cviAiBgYGc9RafPn0KNzc31K9fX68hLlmyJOrWrZvhc33P+KFDh0zGJ2VVJGOkB0PBePoeLmPKDewsZ8OGDUavl17HKzExERUqVICfn5/ZIpDpefnyJebPn48KFSpALpdDqVSiRo0aWL58uVaWyNDLJZRnz56hYsWKkMvlGDduHDQaTaYYI0vofnXs2BG2tra4ceOGwWNu3LgBW1tbdOrUSdRrc9FPNBe2XU6dOoWxY8dCLpejUqVKouUQAtIO3t69e4fly5ejRo0aUCqVkMvlqFixIubPn6936csc4uLi4Ovri4oVKyIxMdFgbiV9rF+/3mC8lyElBX3POJ/g8qyGZIwM0L59+wwyJfoeLkOadvfu3dPutRjDkI7X/fv34ejoaFRlmitxcXFYsmQJqlWrBoVCoU1StmjRIr2OERMmTOCcip0rbNZZdkS8b98+ixqja9euWUT368OHDwgMDER4eLjevbDk5GSUKFECuXPnFn1znn3WjMWjmQv7jEdEREAmk2Ho0KGiKkobG7y9evUKCxcuROXKlbUDpWrVqmHJkiWiDMqio6Ph6OiI+/fvaz/bunUrZ73FFi1aZDgfMKwxl76/YGW3OnToYPZv+RGRjJEBtm/fDiURbq1ZA8yfD3TsiLhy5bCTCHHlygEdOwLz52NErVrIny5Lo0ajQfny5eHv74+3b9/qLT+9jtfdu3czHLNs2TIQGVeaNsSHDx/wxx9/oHbt2lCr1ZDJZChbtizmzJljUGGChX25jHnDCWXHjh1wdXWFt7e3RY3RxIkTLab79ffff2sz6KZn9OjRkMvl+Oeff0S/LtuRc9FOEwo7m3dycsLOnTtFL3/z5s16B2/pefbsGebMmYMyZcpAJpNBrVajdu3aWLlypaCAb1YBXd8+0d27dxEWFmZSb/Ht27fw8/NDhQoVMsxsgoKC0L51a+D0aYP9xaNhw1CECDst8F79CEjGSB/37iG5b1+8JgLYP5UKzJf/Z9L9+5O1NTBwIPAlsG7q1KkgojR7JLro6nh17drVYIQ4wzCoX78+3NzcOHlxff78GevXr0fDhg21gYglSpTA9OnTeYuxBgUFoW3btrzO4cr9+/e1mmf9+vWzSBBvqVKlLKr7NWjQICiVyjTuzWfOnIFSqcTgwYMtdt3atWsjIiJC9HIZhsGsWbOgVCpBRBlicsSiTZs2CA4O5nXOw4cPMW3aNJQoUULrXNOoUSOsX7+e0+z9yZMncHV1RYMGDQw+awkJCejSpYtRvUUA2hl9GiX1e/ewLzwcb2QyTv0F4+KSpr+QSEUyRrq8fQu0awfIZIBC8d+DxeVPoQBkMrxu0ADuajV++eUXvZdgdbzs7OywatUqk1V6+fIlvLy8UKNGDb0vUkJCArZs2YLmzZtrVYcLFy6MCRMmmAw8NUbfvn3h6elpsaRfrC4ZESEqKsqsDK7pyQzdr8TERBQuXBj58uVDfHw84uPjkS9fPhQuXJiT+7tQWP1EMfdw3r9/j8aNG4OItIMkS8xY2SSW/fr1E1zGnTt3MGHCBBQuXBhEBHt7ezRv3hxbtmzRO6hjGAbVq1eHl5cXpz2olStXptFb1EfPnj1hZWWFK//8o+0vGLlcUH+Bdu0AgSlkfjQkY8Syezfg7c3fCKX7SyHCc6USCXqm4r///jtsbW2RL18+XooA27ZtSxOnlJycjN27dyMmJgbOzs4gIuTLlw+jRo0SbT/h6NGjILJcOmR2PX3ChAlwcHBAcHCw4Jw26Vm0aFGm6H5dunQJVlZW6NWrF3755RdYWVkZTaooBs+fP4dMJsPixYtFKe/ixYsIDg6Gg4MD1q1bZ1HHkiNHjoCIcOzYMVHKu379OkaNGoV8+fKBiODs7IyYmBjs3r1bu5/HxgnxUa+4cuUK8uXLB1tbW73Byp8/f0ZbPz+8VCr5GyF9RilbttT+J4sjGSMAmDUr9cEw98Fip+FsObNnA0iNsejUqROICNHR0YI2ttu1awdra2s0bdoU7u7uICLkzp0bQ4YMEa0T14Udxfbt21f0soG0m7vXr19HwYIFYWNjwyn2wxQ1a9ZE6dKlRailaaZMmQKZTAYiwtSpUzPlmhEREUbVPriybNky2NjYIDQ0VDuIsaQx6tOnj8Vm2xcvXsTgwYORO3duEBHc3d3RrFkzWFtbG1VQMMTHjx/RvHlzEBE6d+6cdtb1pb9IEaGvSNPvfOkvsiqSMZo9W5wHysDfyxEjUKRIEajVasyfP5/X/ohGo8GxY8fQvXt3eHl5gY0F6t27N86cOWMxwVSWNm3aICidc4ZYpO/0Pn36hNatW4OI0L59e8GioKzu1+TJk8WsrkHevHkDKysrWFlZiZKOnQuTJk0yS0onPj4e7du3BxEhJiYmjZOHpYwRwzDIkyePxfYhda9z+vRp9O7dG2q1GkQEb29vdO/eHX///Tevd4ZhGPz2229Qq9X/6S1auL/IygYpaxuj3bst+2B9+Wvh5cX55WZfpj59+sDf3x9EhGzZsqFHjx747bffIJPJBClQC4H1fOKTf4crhjq9xYsXw9raGoULFzaq42cIVvfLWByQmLRs2RL29vawt7e3mAJ1eq5fvw5TCvGGuHXrFgoVKgRra2u9S32WMkZXrlyBpTw09TFu3Dht8HaPHj2QLVs2EBH8/f3Rt29fnD59mrNhOn36NHLmzIl6dnaZ0l9k1SW7rGuM3r5N3SMSaWnO0F8KETReXkY3KRmGwYULFzB48GCt+oK7uzs6d+6MgwcPplnW6N+/P1QqFc6dO2fxW8SmX0if8kIMjHV6586dQ2BgIJycnHh3uJmp+8WqnC9duhRLlixBZqhQsxjSTzTGxo0b4eTkhNy5c6fJp6WLpYzR+PHjRY9dM8S5c+egUqkwYMAA7WcpKSk4ePAgOnXqlGaZe/DgwZyWud/cu4fXVlbiLc0Z+pPLU/eQsqBTQ9Y1Ru3ame2swPlPoUi9XjquXbuGkSNHptmAbdOmDfbs2WMw4VhCQgJCQ0NRoECBTMlvU7duXZQsWVL0ck11em/fvkX9+vVBROjduzenNN2ZqfvFSsTUq1cPDMOAYRjUrVsX7u7uFpe0AQzrJ+ojKSkJvXv3BhGhQYMGBmPfAMsZo/DwcNSrV0/UMvURHx+P/Pnz46effjLo1cg6ALVp0yaNA9DIkSMNxz+1awfmK/cXPzpZ0xjdvZvqVsnjATlDhFpEcCGCDRHyE+FXPg+YTAbcu4c7d+5g/PjxKFSoEFjX1OjoaGzdupWzS/CFCxegVqvNVqPmwpIlS4ymYhcKl06PYRhMmzYNSqUSERERJmOlMkv3y5B4Jl9RXHMwpJ+YnkePHiEiIgJKpRLTp083WS9LGKOnT59CJpNh6dKlopVpCHaviKtTT2JiIrZu3ZomNKJQoUJpQyN49BeniVCVCA5EsCfCz0Q4J8QgfekvshJZ0xgNHMhrVrSbCGoilCDCNCIsIEJ/IvTl8XBpZDL878u6NRu0t2HDBsHLFpMmTYJMJsPBgwdFvjlpefnyJeRyORYuXChquXw6vWPHjiF79uzw8PDAX3/9ZfC4Xr16ZYru18KFC2EorQCbLsRQOhGxYPUTe/fubfCYv/76Cx4eHvD19eXsTm0JY7RgwQKDaRbE5ODBg5DJZIKdVz5//owNGzagUaNGaYLGT1SqxGlWdIYI1kTIQ4QpRJhEhAAiOBLhmpDZ0aBBIt+hb5usZ4ySkgAXF84PxTsieBGhHhE0QkY4On/vVSqsWr5ckJxJelJSUlCmTBnkyJFDK3BqKcqUKSN67hm+nd6LFy9QpUoVyGQyjBo1KoPBYRgGgYGBFtf9un37Nuzt7Y26C7dt2xb29va4ffu2RevSvn175M6dO8NsR6PRYOTIkZDJZKhSpQovI2AJYxQZGYmyZcuKVp4+3r17hxw5cqBs2bKiuI5/+PABK1euRP1atdIqsRj5q0GpKyevdD578mWGVF9In+HiktpfZRGynjE6fZrXAzGPUlUCrnz590dzjZKIL/mdO3dgb28vujJ1eqZMmQIrKytRjCiLkE4vJSUFI0aMgEwmQ9WqVdN0spcuXYIlZWzY60dERBhNRQ38l2K+dOnSFlOwAP4LhtZVCnj58iWqVq0KmUyGkSNH8r6+2MaIzR5s6RismJgYODg46NV4NAse/YUDERrp+TySUldWPnzl/uJbJ+sZo/nzeT0MDSh1mv0XEYK+GCY7InQiQryQh8tEtle+LF68GESETZs2iVquLjdv3gSXVBh8MKfT27NnD9zd3eHr66sVJB0zZgzs7Ows6tQxYcIEyGQyTnl9Dh8+DJlMpledWizi4+NhZ2eHsWPHAkgVcPX19YW7uzv27NkjqEyxjRGbekGImz5XWDVzi8g/8egv1ERoqefzRl/6jX++gf7iWybrGaOOHQGVivPDEEoE2y9/3Yiw4ct/iQhN+D5YKlXq9UWEYRjUrl0bHh4eouqVpSdfvnwm02HwwdxO7+HDhyhVqhSUSiVmzJiBsLAwNGjQQLT6pef8+fNQqVS8dNX69u0LtVqNf//912L1ql+/PooXL44ZM2ZAqVSiVKlSePjwoeDyxDZGLVq0QP78+UUpSx/Pnz+Hh4cH6tSpYxmnER79RcEvA1Zd9+9EIvh/6S/WfwP9xbeMkrIaT58SJSdzPvwjEX0mok5ENPPLZ/WJKImI5hPRKCLKw7EsJCfTu2vX6M7Zs9zry4Fu3brR4cOHqXHjxjR16lSSyWSilk9EVKJECdqwYQOdPHmSlErzH5urV6+m+a8Qpk+fTjNnzqSePXsSEVHVqlXprMj3logoKSmJWrRoQTly5KB69epxvkb9+vVp48aN1KBBA1qxYgWp1WrR65Y3b176888/6eTJkxQdHU3dunWjFy9e0IsXLwSVJ0a7sKSkpNDmzZupYcOGFmkXANSrVy9KSUmh2NhYOnfunOjXyHXtGjklJxOXN6oLEXUmorZE1I+IGCIaQ0RPv3wfz/fiyclEz57xPev75Wtbw0ynalVeo5P8X0Y1h9J9fujL58t4jnZ2fjlP+pP+pL9v/28n8Xu/BxFBpXN+GBEGf/n/jTzLAlFqf5VFyHozIysrXof7ENFlIvJK97nnl//G8SgLRBRerhydmTaNVx24MmLECNq3bx+tWbOGfHx8RC2bYRiqXr06ValShXr37m12eVevXqXo6Gj6/fffKSQkxKyyYmNj6cOHD5SYmEj379+ngQMHUu3atc2uIxHR2bNnqX379tS9e3dq1aqVoDKWLl1Ks2bNooULF1KRIkVEqdfmzZtpwoQJFBAQQGq1mhwdHWnWrFlmlytmu0ydOpX27NlDO3fuJLlcbnbddHn8+DFFRUVR5cqVacSIEaKWrUuuXr0Ihw5xmhkREY0loj6U2mc4EVFBIhr05bsgIRWwthZy1vfJ17aGmQ7PPaMBX0Y1+9J9vu/L53/wGeVYeA1YbPfW9HTs2BG5cuUSZW1erL2J9+/fQ61WY8aMGanS/m3bgojQpk0bs6Vn3r17h4CAAJQpU8as+5mSkoLSpUub9MLjwqdPnxATEwMiQrt27fD582dMnz4darValJxQYrULwzDImTMnOnXqZHad0sOGNQQEBFg8rIFvf6HvrxgRfEmAF24W2zPKesaIpzfd2S9Gp1m6z5sSQUmEx3wfMAt7x5gb+GeMHTt2gIhESVkhVqe3du1aEFEal96lS5dqUyOYI5japk0b2Nvbm5WkkIWNTzJHtfrGjRsIDQ2FjY1NGjWDO3fugIiwbt06s+spVrtcuHAhdZnLAqnL2YDvQ4cOiV52Bnj2F+n/Vn/pP6YILUPypvuB4RlnBCK0+fJANSbCHPrPVXOggIfr3YEDFv+JrCTKhQsXRC03ISEB9vb2GDNmjNllidXpNW/eHKGhoRk+v3DhAoKCguDg4ID169fzLpdVLBdTSYFVbhCiXL1u3To4ODggKChIb7sWLFgQ0dHRZtdRrHYZPXo0HBwc9GZfNYd///0306Sw3rx5g01Dh3J+tw8RoRIRJhJhERHaEUFBhGpESBZqjKQ4ox8YngoMIEISEUYQIQelbk7mJsJ0AQ/WayLYKJWoWbMmVqxYIWqqbV3i4+NRoEABo2KRQmnYsCGKFStmdjlidHpJSUlwdnbG0KFD9X7/7t07bTrtnj17cr4XrMZcrVq1RHUXZhgGtWrVgqenJ+cstImJiejRo0fqYKhxY4PPzJAhQ+Di4sJJUNYYYhmjsLAwNGrUyKwy0pMZIsHv3r3DihUrEBkZCZVKBRUR3imVnN7vW0SoQgR3IlgRIS8RxlOqe7cgQyQpMGQBeGrTifKnUOB9t2749ddfUbJkSRARrK2tUb9+faxduzZNgjMxYGX0xVawXrFiBYjIpGipKcTo9Pbt2wciwunTpw0ewzAMZs6cCZVKhZIlS+LBgwdGy9RV3xZbHBYAnj17Bnd3d63atzEePHiA8PBwqFQqzJo1y+jxp06dAhFh//79ZtVPjHZ5+PAhiAi///67WXVJz4ABA6BSqQymvxDKp0+fsGbNGtSvXx9WVlYgIpQqVQq//vorHj9+/NX6C0mbLitw7x5v1W6z/9Kp8N67dw+TJk1C0aJFQUSws7ND06ZNsWnTJtGWNsaNGwe5XM5ZJJMLr1+/hkKhwNy5c80qR4xOr1u3bvD19eU0ezl+/Dj8/Pzg5uaGXbt2GTwuM/IS6eZBMsSuXbvg5uYGf39/TirkDMMge/bs6N69u1l1E6Nd5syZA4VCIWrm26NHj0Iul4uWWDIhIQGbNm1CkyZNYGdnByJC0aJFMXnyZNy/fz/twd9Af5EVyJrGCPgm8hmx3Lx5E2PGjEHBggVBRHByckKrVq2wc+dOs5ZdUlJSUKpUKeTKlUtUXbkKFSqgqpnxD+Z2egzDwN/fH126dOF8zqtXr1CtWjXIZDIMHz48g4fc3bt34eDgkCkZW1u2bAkHBwfcS9fhpKSkYNiwYZDJZKhevTpevXrFuczOnTsjR44cZi0timGMqlSpgooVKwo+Pz3v379Hrly5EBERYZZXY1JSEnbs2IFWrVrB0dERRISCBQtizJgxuHnzptFzmXbtoMksgyTlM8pivHuXmlExEzK9vrGxwSeOCdcuX76MYcOGISgoCEQENzc3tG/fHvv27RP0It66dQt2dnaiqln/+uuvUKlUZrnVmtvpnTt3DkSE3TxTNGs0GowZMwZyuRyVK1fW7t1oNBqUK1cO/v7+RpPPicXbt2/h7++P8uXLaxXInz9/jsqVK0Mul2PMmDG8U2Hs2rULRGTWMpa57fL27VuoVCrMnDlTcB3S0759e9jZ2QnSt0tJScG+ffvQvn17uLq6gogQFBSEYcOGpRGYNcanT5/QsWlTPCayvEGSMr1mUXbvzpSRTk21GgULFsT169c5V41hGJw7dw79+/dHQEAAiAheXl6IjY3FkSNHeHVUv/32G4gI27ZtE3KXMnDv3j0QEdasWSO4DHM7vREjRsDR0VGwg8bevXvh6emJ7Nmz4+jRo5gyZQpkMhkOZIK3I8v+/ftBRJg6dSqOHj0KHx8feHp6Yt++fYLKS0xMhKOjI0aOHCm4Tua2y+rVq0FEGWZ8Qtm6dSuICPPnz+d8jkajwZEjRxAbGwsvLy8QEQICAjBgwACcO3eO18zx+vXrKFiwIGxsbLCnT5/MmRnxHGD9KGRtYwQAs2db9sGaMyeNm/HatWt5V5FhGBw/fhy//PILsmfPDiKCr68vevXqhZMnT5p8uRiGQY0aNeDl5SVagrOffvoJzZo1E3y+uZ1e4cKF0aRJE8HXB4DHjx+jdOnSUCqVUCgU+OWXX8wqTwg9e/aEUqmEXC5HmTJlUjfMzSAqKgpFihQRfL657dK0aVMUKlRI8PV1efHiBby8vBAZGcnpGT9x4gR69eoFX19fEBGyZ8+OX375BSdOnBC0dLl27Vo4ODggODj4v9i6TOgvsiqSMQL+e8DEWrJjy9F5sN6/f691M+7Ro4fgEb1Go8Hhw4fRtWtXeHp6goiQK1cuDBw4EOfPnzf40j158gRubm5o0KCBKO7Kw4YNg7Ozs+A9LXM6vfv374OIsGrVKkHX1uXjx4/w8PAAEaF27dqIi4szu0yuxMXFoVatWiAieHp6iuJRuXLlShCRSa9BQ5jTLklJSXBycsLw4cMFXVsXhmFQv359uLm54amBJW6GYXD+/HkMGDAAOXPm1N7Hrl274vDhw4Iz/iYmJqJ79+4gIkRFRWV0p8+E/iIrIhkjlt27U9dqzXVqUChSy9Ez1WYYBrNmzYJKpUJ4eHhGrx2eJCcnY+/evWjXrh1cXFxARMibNy+GDx+OK1euZDh+3bp1ICIsX77crOsC/3Vae/fuNet8IZ0eew/F2NsZNGgQVCoVpk+fDicnJwQGBuLcuXNml2uKs2fPIleuXHB2dsb06dOhVCoxePBgs8uNi4uDUqnE7NmzBZ1vTrv89ddfICKcPXtW0LV1WbZsGYhIb8DylStXMHz4cAQHB4OI4Orqinbt2mHv3r1ITk4267r3799HiRIloFKpMHv2bMMDt0zoL7IakjHS5e3bVC8WmYz/Q6ZQpJ7Xrp3Jzcfjx4/D398fbm5uosmlJCYmYvv27VovLSJCaGgoxo0blyb9dXR0NBwdHQWPnFkYhoGfnx+6desm6HxzOr3KlSvj559/FnRdXY4dOwa5XK5NTnf79m0UKVIEVlZWWLhwoUXy4zAMgwULFsDKygpFihTRSg2xThV///232dcw5/6Y0y6xsbHw9/c3+77dv38fjo6OaNGihfazW7duYezYsQgNDQURwdHRES1btsT27dtFC+zeuXMnXF1d4e/vjxMnTpg+IZP6i6yCZIz0ce9easCZrlJDerFE3X+7uKQez2PT9tWrV6hevTpkMhmGDh0qqrBpfHw8Nm7ciKioKNja2oKIEBYWhilTpuDixYvw9fVFxYoVBS9jsHTt2hV+fn6COh+hnZ65I3+WDx8+IDAwECVLlkwzmo6Pj0fHjh1BRGjVqpWowcgfP35Ey5YtQUTo1KlTGhWB5ORkhIeHI3fu3Pj48aNZ15k1axaUSqWgJUeh7cIOTmJjY3lfUxeNRoMKFSrAz88Ply5dwpQpUxAWFgYigq2tLZo0aYKNGzeKqsCQkpKCIUOGQCaToUaNGrzc6QFkSn+RFZCMkTGSklK1oRYsSFXPrVMnNb9InTqp/16wIPV7gfsmum7GlSpVskim1o8fP2L16tWoV6+eNro8f/78ICKMGjXKrLL37NkjeFlGaKf3xx9/mLUnwtKxY0fY2toajC9ZsWIFbG1tUaBAAVy7ds2sawHAtWvXkD9/ftja2hpUJrhx4wZsbW3NVrpm99RWrlzJ+1yh7cKe99dff/G+pi4jR45M84xaWVmhXr16WLNmjdlGWh/Pnj1DxYoVtTNkswZoFu4vfnQkY/QNsH//fnh6esLHxwdHjhyx2HXevXuH5cuXIzIyEnK5HESEEiVKYP78+YK87FhXYiEb1kI7vcaNG5vlLQYA27dvBxFh3rx5Ro+7dOkS8ubNC3t7e7Pc2FevXg17e3vkzZvXZGzL3LlzQUTYsWOH4OsBqd6GUVFRvM8T2i7Dhg2Dk5OTIIeWly9f4rfffkPx4sVBRJDL5YiMjMTy5cstmiLi8OHDyJYtG7y8vMyWUZIwH8kYfSM8fvwYZcqUgUKhwOTJky2yX6HLo0eP4O3tDQcHB8jlcigUClSrVg1Llizhtbwj1JVXSKeXkJAABwcHs+JoXr58CW9vb1SvXp3TPf7w4QOaNGkCIkK3bt147U8kJCQgNjYWRISmTZtyUsFgGAbVqlWDt7c3/+UiHYTGYQk1Rnxd/ePi4rBkyRJUrVoVCoUCcrkcDg4OyJYtm9m6h6ZgGAaTJk2CQqFA2bJl8eTJE4teT4IbkjH6hkhOTkb//v1BRKhbt67F3YxPnToFpVKJX375BXPmzEHZsmUhk8mgVqtRu3Zt/PHHHyY7UKFBjkI6PVZh4N9//+V1LRaGYdCwYUO4urry6oAYhsGcOXOgUqlQokQJTl6Q9+7dQ/HixaFWqzF37lxeg4vHjx/D1dUVjRo1EjwoOX/+PIQoVAhpl7t374JLEPSHDx/wxx9/oHbt2lCr1ZDJZChbtizmzp2LX375BUql0qjorRjExcWhTp06ICL079/fbO87CfGQjNE3yObNm+Hs7IxcuXKZLeVvipEjR0KhUGjFOB89eoTp06cjPDwcRAQbGxs0bNgQ69ev15s59d27d4LkX4R0ep07d0ZAQIDgDppVHBcSeAwAJ0+eRI4cOeDq6mp0GW379u1wdXVFjhw5cOrUKUHXWrNmDcxRvmYYBjly5OCl3QcIaxdj8lCfP3/G+vXr0bBhQ9jY2ICIEB4ejunTp2tnQP/88w/kcrnZe5imOHPmDHLmzAlnZ2dBOaUkLItkjL5R7ty5o3Uznj9/vsWW7ZKTk1G8eHHkyZMnwwbx3bt3MXHiRBQuXBhEBHt7ezRv3hxbtmxJoyxepUoVVKpUidd1+XZ6rCp1jx49eF2H5cGDB3ByckLz5s0Fnc/y+vVrREZGgogwePDgNF6QycnJGDRoEIgINWvWxOvXr826VrNmzeDk5CTYWaN79+6cVc1ZhBijihUrphHOTUhIwJYtW9CsWTPY29uDiFC4cGFMnDgxTUZeINXBJnfu3ChRooTFZikMw2D+/PmwsrJC0aJFRcncKyE+kjH6homPj0enTp1ARGjRooVFvImAVP0tGxsbo6Po69evY9SoUVovJ2dnZ8TExGD37t2YOXMmb1divp2eOfl6NBoNKlWqBF9fX1GWPjUaDcaPHw+5XI6KFSvi2bNnePr0KSpUqAC5XI4JEyaY7TYPpGYazZ49OypVqiSoPC75ntLDt13evHkDhUKBWbNmYdeuXYiJiYGTk5PWI2706NFGNRk7d+4MGxsbXrqNfPj48SOio6NBROjcubPFkvJJmI9kjL4Dfv/9d9ja2iJ//vy4evWqRa4xe/ZsEJHRXD8sFy9exJAhQ5A7d25tBLy+mYIx+HZ6bCZTIaPnX3/91Sy1CEMcOHAAXl5ecHNzg6urK7y9vXHw4EFRr8GqGghRwTaVCVcffNolJSVFOxNkn4E8efJgyJAh/2m5GYHdA5xjIRmcq1evat3p//jjD4tcQ0I8JGP0nXD58mWEhITA3t5eFE229DAMgypVqsDHx4fz8hLDMDhz5gz69esHtVoNIkK2bNnQvXt3/P3330aXh/gao4IFCyI6OprTsbpcuXIF1tbWZied04dGo8HgwYNBRCAiDBkyxCLLqd26dYO1tbWggUjz5s0RGhrK+XhT7aLRaHDs2DF0794d3t7eICKo1Wr069cPZ86c4fz7X79+jWzZsqFq1aoWuWerVq2CnZ0dQkJCOKeKkPi6SMboO+LDhw9o1qwZiAhdu3YVLSMsy6NHj+Di4iJIDXvkyJGwsbFBbGwssmXLBiKCv78/+vTpg9OnT2focPgYo9u3b4OIsG7dOl51SkpKQtGiRZE3b169zhfm8ObNG63I6YABA7RekLVr1xY1wymQmk8nODgYYWFhvON41q5dCyLivE+ir10YhsGpU6fQp08f+Pv7g4jg4+OD2NhY2NjYCHI8iIqKgouLi9kq5elJSEhAly5dQERo3ry5qEklJSyLZIy+MxiGwbx586BWq1GsWLEMG8LmsmrVKghRxP73339BRNi5cydSUlJw8OBBdO7cGe7u7iAiBAYGYvDgwbhw4YJ2RsXVGE2bNg1qtTqjerIJhg0bBoVCgZMnT/I6zxSnT59GQEAAXFxc0uSI2rp1K1xcXJAzZ07RXZRPnjwJhULBO8D4/fv3UKvVmD59Oqfj2XY5ffo0Lly4gEGDBiEwMBBEBA8PD3Tu3BmHDh2CRqPBjh07QES4cOECrzqxyuKrV6/mdZ4p7t69i7CwMKjVasybN8/isXoS4iIZo++UU6dO6e0QxaBJkyZwdnbmFXzIMAwCAgIySNkkJydjz549aNOmDZydnUFEyJcvn1b/jYsxKleuHKpXr87rN5w4cQIKhQIjRozgdZ4xuAwEdDvE3377TdQOcfjw4VAoFNxEPHWoVq0aypcvz+nYDRs2gIi0KRmcnZ3Rtm1b7NmzJ8N+XceOHZEzZ05ev/Hhw4dwdnZG06ZNef0GU7ADgYCAAIvHKklYBskYfce8efMGNWvWBBFh4MCBornGvn79Gj4+PqhSpQqvjqZnz57w8fEx6PmVmJiIrVu3Ijo6GnZ2diAiBAcHY/z48QaXkV69egW5XM4r0+enT58QFBSEYsWKCc63lJ4PHz6gefPmnJZIdZeKoqOjRfOCTEpKQlhYGIKCgngJuP72229QKBQG9wLv3LmD8ePHo1ChQtr9rxo1amDbtm0GFRw0Gg2yZcvGKyGhRqPBzz//zGtf0hTJyckYOHAgiAi1atUSfYlUIvOQjNF3jkajwYQJEyCXy1G+fHmDicj4wno68VHHPnDgAIiI07LYsWPHQET4+eeftcGQxYsXx7Rp0/Dw4UPtcWxeGz6KCV27doWNjY0oAqfAf84jdnZ2vJYvV65cCTs7O+TLl09vfikhXL16FdbW1rzUsR8/foz0eawePnyIqVOnavXgbGxs0LhxY0yePJnTjPXEiRMgIl7eg7NmzRKkCmGIp0+foly5clAoFJg4caIo7vQSXw/JGP0gHDx4EN7e3qK6F3fp0oVXp56cnAxXV1dOSeJ094w+fPiAVatWoU6dOlqvvDJlymD27NmoUaMGSpQowbnOu3fvBhFh1qxZnM8xxh9//GGWW/2VK1eQL18+2NnZieZePHPmTBAR9uzZw/mc4sWLIzIyErNnz0bp0qW1XnB169bFqlWrtBv9XPfyBg0aBFdXV86z8WvXrsHGxgZdu3blXGdj6D7vhw4dEqVMia+LZIx+IJ4+fYry5cuLFnj58eNH5MmTB8WLF+fc6bRo0QIFChQweZyhTu/t27dYunQpqlevDqVSqXV+WLhwocmlnTdv3sDHxwc///yz2b89ISEBnTt3FiXgOH3gpblekBqNBpUrV0b27NlNLku9evUKCxYs0DohKJVKVK9eHcuWLdObKZerMcqfPz9atmzJqb5JSUkoVqwY7+VFfegGHFeoUEG0lQCJr49kjH4w0kvSmLuGfvz4cSgUCs7uu+vXrwcRpckuqw8unR7rdRUeHg65XG6yI23atClvxwt93LlzB0WLFoWVlRUWLFggihMCK0mjVqsRFhZmthck6wigTyn77du3WLZsmdagy+VyrdagqWVGLu1y69YtEBE2bNjAqa6s/iFfx4v0vH79WrtHOmjQIEnk9AdDMkY/KNu2bdN6FwkV62QZOnQoZ0XlDx8+wMrKCtOmTTN6HJdOr3379sidOzcYhsHTp0/TLDFZWVlpl5jYBIJCE8rpsmXLFjg7OyNnzpwWEallxTpdXFywdetWs8piEw2yiedWrVqFunXrapc6S5cujdmzZ+PZs2dgGAaBgYHo0KGDyfqZapepU6fCysqKUwzPqVOnoFAoMGzYMN6/L305rEjt9u3bzSpL4ttEMkY/MPfu3UOxYsUEpTHQhW/waI0aNVC2bFmjx3CJ9Pfy8kLv3r0zfPfgwYMMm+8qlQoRERGCtcd003fUqVPHouk73rx5g9q1a2sDZoWO8D9//oxSpUpBpVIZdQJh6dWrF7y9vY0uYXIxRmXKlEFkZCSn+uXNm1dQsC4LwzCYO3cu1Go1ihcvzjtVicT3g2SMfnB0E7w1a9ZMcEQ6K6vDRTV7/vz5kMvlRrPHmur0/v77bxARDh8+bPRat27dQp48ebT7Sw4ODmjRooVRt+T0PHnyBGXLls20xIZA2gRv5cqV4+wtmJiYiG3btiE6OhoODg7afaA8efLg1q1bRs89dOgQiAj//POPwWNMtcvLly8hl8uxYMECk3Xt3r27YBkjIHWW3bRpU0GJDSW+PyRjlEVgU1+bo9U1Y8YMToKjT548ARFh6dKlBo8x1en1798f7u7uJoVX58yZo1V+uHr1KkaMGIG8efOCiODi4oK2bdvir7/+Mjj72L9/P7y8vJAtWzaThs8S6Ka+PnDggN5j2MDhtm3bwsXFBUSEkJAQjBw5EteuXdMqIcydO9fotZKTk+Hm5oYBAwYYPMZUuyxZsgQymcyk4wAr8Prrr78aPc4QuinfxVZqkPg2kYxRFkJXxVhI0jaNRoOKFStySsUQHh6OevXqGfzeVKeXN29exMTEGL0Gm/qic+fOaT5nGAb//vtvBimbLl26aKVsNBoNxo0blyYNxNfi2bNnqFixIuRyOcaNG6et36FDh9C5c2d4eHhovQoHDRqklVTSpVOnTrC1tcWNGzeMXqt169YICQkx+L2pdqlbty5Klixp9BpxcXHw9fUVnPpixYoVWnd6sWLFJL59JGOUxfj48SNatGgBIkKnTp1477Hcv38fjo6OJhW0x48fD1tbW4N7TMY6vevXr4OIsGnTJoPlG0sKqIuuyKefnx+ICN7e3ggICNAqbXNNe2FJUlJStArgOXPm1Cpi+/n5GRSb1YVrkrqNGzeCiAwaLWPt8vnzZ9ja2mLChAlGf0vz5s0FJQWMj4/XykRZMn+XxLeJZIyyIAzDYMGCBbCyskKRIkV4Z75cvny5SRXtK1eugIgMeowZ6/QmTZoEGxsbozEpo0aNglwuN7r/kR6NRoOFCxfC3t4eMpkMRISAgAD069cPZ8+e/SrCmrppOHLkyAEigkwmg4ODAxYtWsRrZsGm7x49erTBYz5+/Ahra2tMnjxZ7/fG2mXLli0gIqN7QKxK+IoVKzjXG0hVZmczG4vlTi/xfSEZoywM62bs7OyMzZs3cz6PYRg0aNAArq6uBjfeGYZBnjx50K5dO4PXNtTpRUREoHbt2gavf/r0aSiVSgwZMoRXnWfNmgWVSoXw8HDcvXsX+/fvR8eOHeHm5qZNDDd06FBcunSJc7lCuXTpEoYMGYI8efKAiODu7o6OHTviwIEDuHPnDkqUKAGVSoXZs2fz6pgHDx5s0g2/Vq1aKF26tN7vjLVL27ZtERQUZLDcJ0+ewNXVFQ0bNuRV582bN8PJyQm5cuXC2bNnOZ8n8WMhGaMsTlxcHOrWrQsiQr9+/Ti7Gb98+RJeXl6oUaOGwY6nT58+8PLy0ju6N9TpPX/+HDKZDIsXL9Zb5ufPnxESEoIiRYpwdhd+//49oqKiQETo0aNHBq+spKSkDCmzCxQogNGjR5vcg+HDjRs3MHr0aG3qdicnJ8TExGDXrl0ZfktiYiK6d+8OIkKTJk04p89ITExE4cKFERISYnCJdNGiRZDL5Xjx4kWG7wy1S0pKCjw9PdG3b1+9ZTIMg+rVq8Pb2xuvXr3iVNfk5GT069cPRIS6deta1J1e4ttHMkYSYBgGU6ZMgUKhQNmyZTm7GW/btg1EZFBR+8iRIyAi/P333xm+M9TpLV68GDKZDM+fP9dbZs+ePWFlZcXZI/DixYsIDg6Gg4MD1q5da/L4hIQEbNmyBc2aNdMqixcpUgQTJ04UFONy9+5dTJw4EUWKFAERwd7eHs2bN8eWLVs4yQKtXbsW9vb2CA4O5jxju3z5MqysrAwqaj979gwymQz/+9//MnxnqF1YYdujR4/qLfO3334DEWHHjh2c6vj48WOUKVMGCoUCU6dOlZblJCRjJPEfR44cgY+PD7y8vLB//35O53To0AF2dnZ6Y1xSUlLg4eGBfv36ZfjOUKdXq1YtRERE6L3Wvn37QEScE8UtX74cNjY2KFiwIK5fv87pHF0+ffqEdevWoWHDhrC2ttZKE82YMcNohtLHjx9jxowZWgkea2trNGzYEOvXrxeUcfbatWsoUKAAbG1t0yhvG2PatGkgIoPtWKpUKb1LoYbapW/fvvDw8NDr7HHz5k3Y2tqiY8eOnOq2b98+eHp6wsfHB0eOHOF0jsSPj2SMJNLw/PlzVKpUCXK5HGPHjjW5gf7hwwcEBgaiVKlSejuqmJgYBAcHZ/hcX6fHbq5PmjQpw/FxcXHw8/NDhQoVTNYpPj4e7du3BxGhdevWZotzAqlLfX/88Qdq164NlUoFmUyGcuXKYe7cuXjx4gWeP3+OuXPnoly5cpDJZFCpVKhduzb++OMP3hlq9fHp0ye0atUKRIQOHTqY9ILUaDQoX748/Pz89Or4TZw4Ua+TiCFjFBQUhDZt2mQoJzk5GSVLlkRgYKDJgGqNRoMxY8ZALpejcuXKBme/ElkTyRhJZCAlJQVDhw6FTCZDjRo1TO4BHD16VBsjk55NmzaBiDLEi+jr9Fi3Y32zmBYtWsDR0RH37983Wpdbt26hcOHCsLa2NrjvZC5xcXFYsmQJKlSooPXKk8lk2pilJUuWWGT/g2EYLFq0CFZWVihcuLBJMdp79+7B0dFRr7r2tWvX9LrP62uXq1evgoj0OrmMHTsWcrkcx44dM1qXV69eoXr16pDJZBg2bNg34U4v8W0hGSMJg+zcuRNubm7w9/fH8ePHjR47YMAAqFQqnDt3Ls3nnz59go2NDSZOnJjmc32dnqGATFYJfNmyZUbrsHHjRjg5OSEwMDBDPcTi3bt3WLFiBSIjI7UzpODgYAQFBYGIoFKpEBkZiRUrVuDdu3cWqcO5c+cQGBgIJycno7FYALB06VKDCtv6Aov1tcuECRP0xoydPXsWSqUSAwcONFqH48ePw8/PD25ubti1a5epnyeRRZGMkYRRHjx4gPDwcKhUKsyaNcvgRnNiYiJ++ukn5M+fP8MSUp06dVAmPBw4fRqYPx/o2BFx5cphJxHiypUDOnaEZt48VHR2xqB03lpPnjyBm5sb6tevb/DaSUlJ6N27N4gI9evX17ssZQ6fPn3CmjVrUL9+fVhZWYGIEBERgZkzZ6Zx9njy5AlmzpyJUqVKaZXF69evjzVr1oiyVKjL27dvUa9ePRAR+vTpY9CzkGEY1KtXD25ubhkkfPr3749s7u5IOXHCYLtg/ny0LlgQDdLtL8XHxyNfvnwoVKiQQc04hmEwc+ZMrTs93yBYiayFZIwkTJKYmIgePXqAiNC4cWODeyAXL16EWq1Oq7R97x7OR0biNRHA/qlUYL78P5Pu38kODsDAgcC9e2AYBjVq1ICXl5dB0dVHjx4hIiICSqUS06ZNE80rKz4+Hhs3bkSTJk20XnVhYWGYMmWKyaVCIFWpYvLkyQgLCwMRwc7ODk2aNMGmTZvMTq7HwjAMpk6dCqVSidKlSxvM4/TixQt4eXkhMjLyv/tz7x4etmzJuV0S7Oy07QKkKoCr1WpcvHhR7zXfvXuHRo0agYjQs2dPSeRUwiSSMZLgzNq1a+Hg4IDg4GCDndDkyZMhk8lwZNs2oF07QCYDo1D81+Fx+VMoAJkMV0qXhgMRtm3bpvdaf/31Fzw8PODr62tyz4ILSUlJ2LFjB1q2bAlHR0cQEUJDQzF27FiTitjGuHnzJsaOHYvQ0FAQERwdHdGqVSvs2LFDcGoFXY4dO4bs2bPDw8PDoIjt1q1bQURYMmOG2e3yODISjkSYMmWK3mtduHABQUFBcHBwMKrSISGhi2SMJHhx/fp1hIaGwsbGRu8eTkpKCnoVKIDncjkYuZxfZ5fuL4UIcba2wO7daa6h0WgwatQoyGQyVKlSRW/wJldSUlKwd+9etG/fHq6uriAiBAcHY/jw4bhy5Yrgcg1x5coVDB8+HMHBwSAiuLq6on379ti3b59Zm/ovXrzAzz//DJlMhtGjR+v1OJxWrRqeymSitMtLtRqanTszXGPp0qWwsbFBaGioqAHDEj8+kjGS4M2nT58QExMDIkL79u3T7hHNmqXtsMzp8Ng/bcc5ezaAVOWHqlWrQiaTYcSIEYI6cI1GgyNHjqBr167w8vICK046cOBAnD9/PtPyGZ0/fx4DBgxAzpw5QUTw8vJCbGwsjhw5IkjtOiUlBSNGjIBMJkO1atXSLm1auF0+f/6Mdu3agYjQpk0bQfFUElkbyRhJCGbx4sWwtrZGoUKFUpexZs8WpaMz9Hend2/4+vrC3d0de/bs4VVXhmFw4sQJ9OrVC76+viAi+Pr6olevXjh58uRXVQDQrVv27NnT1O3EiRO867Z79264u7vDz88vVUjWwu3yYvhwFCpUCNbW1npVHSQkuCAZIwmzOH/+PHLnzo26trYW7fDYv5758ulNqa0PhmFw7tw5UWcfloadtcXGxsLT01M7axswYACvWdvDhw9RsmRJVOe7LyTwr7WPD86fP2/huyPxIyMDAJKQMIN3Dx4QExxMjgkJpLDgdRiZjGReXiS7fp3I0dHgcVevXqXVq1fTmjVr6Pr16+Tq6koNGjSgJk2aULly5UihsGQtxUOj0dChQ4do9erVtGHDBnrz5g0FBwdTkyZNKCoqikJCQoyen/zqFcXnyEF2nz9btF00RCTz9ia5iXaRkDCGZIwkzKd9e8KSJSTTaCx/LYWCKCaGaOHCNB/fvn2b1qxZQ6tXr6aLFy+So6Mj1atXj6Kioqhy5cqkUqksXzcLkpycTHv37qU1a9bQxo0b6f379xQaGkpRy/kUWwAABnRJREFUUVEUFRVFgYGBGU9q355oyRKir9guEhJckYyRhHncu0eUK1fqYo0JWhPRMiPfPyKi7FyuKZMR3b1LD2QyWrt2La1Zs4ZOnz5NdnZ2VLt2bYqKiqKqVauStbU1l9K+OxISEmj37t20evVq2rJlC33+/JnCwsIoKiqKGjduTP7+/rzahYjoJhENJaKjRPSGiPyJqBkR9SEiW64V+9IulCMH798kISEZIwnzGDSIaNIkTqPvf4jodrrPQESdiCiAiC5zvCQjk9EKHx9q/fgxWVlZUWRkJDVp0oQiIyPJ1pZz1/lD8OnTJ9q+fTutWbOGtm/fTomJiVSqVCn61c6Oiu7fz2m2+pCIQonIiVLbwpVS22opEdUmos1cK6NQEPXvTzR2rJCfIpHFkYyRhHCSk4m8vIji4gQXcZSIyhDRWCIaxOO8DyoVbVmwgGrVr0+O0j4FERG9f/+etmzZQutXraL/7dhBrhzPG0dEg4noEhHl1/m8FREtp9SZkgvXSri4ED1/TvSdL4tKZD7yr10Bie+YCxfMMkRERCuJSEapS0J8cEhOpuahoZIh0sHR0ZGio6Np06hRnA0REdH7L//1Svd5NkrtINR8KhEXR3TxIp8zJCSISDJGEuZw5oxZpycT0VoiKkWpy3SZff0fFp73pfyX/7YlovOUumy3hojmEVF3IrKz8PUlJIgkYyRhDmfPmrUcs5uIXhNRcyEnq1RSp2cInu1SjYhGE9FfRFSYUp0XmhBRNyKazvfaUrtICET5tSsg8R3z9GnqvpFAVhKRiogaCzgXycn07to1unP2rODr/6jkunaNnJKTScbjnAAiKktEDYjIjYi2U+pekjcRxfK5eHIy0bNnfM6QkCAiyRhJmENiouBTP1Kql1ZVSu38+CIjouOHDlH1okUF1+FHZSelzna4spqIOhDRDSLy/fJZfSJiiKg/ETUlnm2UkMDnaAkJIpKMkYQ5WFkJPnUTEX0mgUt0lOoSHl6uHJ2ZNk1wHX5UcvXqRTh0iPPMaC6lLs/5pvu8NqW6d58josp8KvCDxndJWBbJGEkIJ1u21D0CAUt1fxCRPaV2eEKQqVTknDcvFSlSRGAJPzB58xL9/TfndnlO+l232bNT+FxbpSLy9uZzhoQEEUkODBLmUKSIIEP0koj2ElE94hHdn57kZCJpiU4/PNsliFJnPzfSfb6KUjuIUD7XltpFQiDSzEhCOAI7nTWUOtoWukRn7vV/eHjel76Uus9UhlKdFdyIaNuXz9oRkY+Fry8hQSQpMEiYg0AFhpJEdIeInhAJV5OWIv0NI6BdThLRCEqdIb0mopyUqsDQj3iOWKV2kRCItEwnIRyViqhTp1RNMh78Q6n7FIINkUJB1Lmz1OEZQkC7FCeiHUT0lIiSiOg6pcoz8TJEUrtImIE0M5Iwj/v3iXLm5KwOLQqSOrRppHaR+M6QZkYS5pEjB1HbtrxnR4JRKFKvJ3V4xpHaReI7Q5oZSZjP+/ep7sTPnxMxjOWuI5en7oVcuyZlFOWC1C4S3xHSzEjCfBwdiZYutWyHR5Ra/tKlUofHFaldJL4jJGMkIQ5VqhDNnm3Za8yZk3odCe5I7SLxnSAZIwnx6Nr1v45PLtKjxZYzZw5Rly7ilJnVkNpF4jtA2jOSEJ89e4hatyZ68YJTOnKDKBREnp6pS0DSyNt8pHaR+IaRZkYS4lOlCtHVq0QxManuvnw9uhSK1PNiYlI3xaUOTxykdpH4hpFmRhKW5f59ogULiObN+08RIL24qu6/XVxSAyc7dJDchC2J1C4S3xiSMZLIHJKTiS5eTM0CeuZMagK2hITUdAPe3ql6ZkWLEhUsKEXwZyZSu0h8I0jGSEJCQkLiqyPtGUlISEhIfHUkYyQhISEh8dWRjJGEhISExFdHMkYSEhISEl8dyRhJSEhISHx1JGMkISEhIfHVkYyRhISEhMRXRzJGEhISEhJfHckYSUhISEh8dSRjJCEhISHx1ZGMkYSEhITEV0cyRhISEhISXx3JGElISEhIfHUkYyQhISEh8dWRjJGEhISExFdHMkYSEhISEl8dyRhJSEhISHx1JGMkISEhIfHVkYyRhISEhMRXRzJGEhISEhJfHckYSUhISEh8dSRjJCEhISHx1ZGMkYSEhITEV0cyRhISEhISXx3JGElISEhIfHUkYyQhISEh8dWRjJGEhISExFfn/3hymXH/lDCCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建完全图\n",
    "G2 = nx.complete_graph(n)\n",
    "plt.figure(figsize=(4,4))\n",
    "nx.draw(G2, pos=nx.circular_layout(G2), node_size=500, node_color=\"red\",with_labels=True)\n",
    "# plt.savefig(\"完全图.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8123418f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建一维环状图\n",
    "G3 = nx.cycle_graph(n)\n",
    "plt.figure(figsize=(4,4))\n",
    "nx.draw(G3, pos=nx.circular_layout(G3), node_size=500, node_color=\"red\",with_labels=True)\n",
    "# plt.savefig(\"一维环状图.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "48b209b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# K近邻规则（耦合）图\n",
    "G4 = nx.watts_strogatz_graph(n,4,0)\n",
    "plt.figure(figsize=(4,4))\n",
    "nx.draw(G4, pos=nx.circular_layout(G4), node_size=500, node_color=\"red\",with_labels=True)\n",
    "# plt.savefig(\"K近邻规则图.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d030b3dc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 二维方格图\n",
    "G5 = nx.grid_graph((6,6), periodic=False)\n",
    "plt.figure(figsize=(4,4))\n",
    "nx.draw(G5, node_size=500, node_color=\"red\",with_labels=False)\n",
    "# plt.savefig(\"二维方格图.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0febc33",
   "metadata": {},
   "source": [
    "## 2、随机网络的两种生成算法"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a1c024b",
   "metadata": {},
   "source": [
    "### 第一种：G(N,L)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "56a1f5dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "77923eed",
   "metadata": {},
   "outputs": [],
   "source": [
    "def GNL(N, L):\n",
    "    G = nx.Graph()\n",
    "    G.add_nodes_from(range(N))\n",
    "    nlist = list(G)\n",
    "    edge_count = 0\n",
    "    while edge_count < L:\n",
    "        # generate random edge,u,v\n",
    "        u = random.choice(nlist)\n",
    "        v = random.choice(nlist)\n",
    "        if u == v or G.has_edge(u, v):\n",
    "            continue\n",
    "        else:\n",
    "            G.add_edge(u, v)\n",
    "            edge_count += 1\n",
    "    return G\n",
    "\n",
    "G = GNL(100, 200)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a54ee801",
   "metadata": {},
   "source": [
    "### 第二种：G(N,p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "89c49cb4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def GNP(N, p):\n",
    "    edges = itertools.combinations(range(n), 2)\n",
    "    G = nx.Graph()\n",
    "    G.add_nodes_from(range(N))\n",
    "    for e in edges:\n",
    "        if random.random() < p:\n",
    "            G.add_edge(*e)\n",
    "    return G\n",
    "\n",
    "GNP = GNP(100, 0.6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b60bd8e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'G(N,p)')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可以直接调用库函数来生成这两种网络\n",
    "n, m, p = 20,40,0.2\n",
    "g1 = nx.gnm_random_graph(n, m)\n",
    "g2 = nx.gnp_random_graph(n, p)\n",
    "\n",
    "plt.figure(figsize=(8,4))\n",
    "\n",
    "plt.subplot(121)\n",
    "nx.draw(g1, pos=nx.circular_layout(g1), node_size=300, node_color=\"red\",with_labels=True)\n",
    "plt.title(\"G(N,L)\")\n",
    "\n",
    "plt.subplot(122)\n",
    "nx.draw(g2, pos=nx.circular_layout(g2), node_size=300, node_color=\"red\",with_labels=True)\n",
    "plt.title(\"G(N,p)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "50ced3a3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "complex_network_two",
   "language": "python",
   "name": "complex_network_two"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
